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ALGEBRA WORD PROBLEMS 1

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Question 1

A man bought a horse and carriage for $500, paying three times as much for the carriage as for the horse. How much did each cost?

	Carriage, $375; horse, $125
	Carriage, $475; horse, $125
	Carriage, $345; horse, $125
	Carriage, $425; horse, $125

Question 2

The greater of two numbers is twice the less, and the sum of the numbers is 129. What are the numbers?

	32, 64
	23, 46
	42, 34
	43, 86

Question 3

The sum of two numbers is 60, and the greater is four times the less. What are the numbers?

	20 and 48
	20 and 12
	12 and 48
	48 and 22

Question 4

Find two numbers such that their difference is 250 and one is eleven times the other.

	45; 275
	35; 275
	25; 275
	55; 275

Question 5

In a school there are 672 pupils. If there are twice as many boys as girls, how many boys are there?

	234 girls; 548 boys.
	204 girls; 448 boys.
	224 girls; 448 boys.
	224 girls; 548 boys.

Question 6

For 72 cents Martha bought some needles and thread, paying eight times as much for the thread as for the needles. How much did she pay for each?

	Needles, ;4 thread, 32
	Needles, 8; thread, 64
	Needles, 8; thread, 34
	Needles, 9; thread, 81

Question 7

Divide the number 64 into two parts so that one part shall be seven times the other.

	9; 36
	8; 56
	8; 46
	10; 76

Question 8

Two brothers, counting their money, found that together they had $186, and that John had five times as much as Charles. How much had each?

	C, $31; J, $155
	C, $42; J, $220
	C, $35; J, $220
	C, $42J, $155

Question 9

James gathered 12 quarts of nuts more than Henry gathered. How many did each gather if James gathered three times as many as Henry?

	H, 8 qts.; J, 18 qts
	H, 6 qts.; J, 18 qts
	H, 6 qts.; J, 16 qts
	H, 4 qts.; J, 16 qts

Question 10

A man walked 24 miles in a day. If he walked twice as far in the morning as in the afternoon, how far did he walk in the afternoon?

	8 miles
	12 miles
	10 miles
	6 miles

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ALGEBRA WORD PROBLEMS 2

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ALGEBRA WORD PROBLEMS 3

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Question 1

A farmer bought a horse, cow, and pig for $90. If he paid three times as much for the cow as for the pig, and five times as much for the horse as for the pig, what was the price of each?

	Pig, $15; cow, $30; horse, $50
	Pig, $15; cow, $45; horse, $75
	Pig, $10; cow, $45; horse, $75
	Pig, $10; cow, $30; horse, $50

Question 2

A had seven times as many apples, and B three times as many as C had. If they all together had 55 apples, how many had each?

	A, 45; B, 15; C, 10.
	A, 35; B, 25; C, 5.
	A, 35; B, 25; C, 10.
	A, 35; B, 15; C, 5.

Question 3

A man bought a hat, a pair of boots, and a necktie for $7.50; the hat cost four times as much as the necktie, and the boots cost five times as much as the necktie. What was the cost of each?

	Necktie, $.75; hat, $6; boots, $3.75
	Necktie, $.75; hat, $6; boots, $4.75
	Necktie, $.75; hat, $3; boots, $3.75
	Necktie, $.75; hat, $3; boots, $4.75

Question 4

A field containing 45,000 feet was divided into three lots so that the second lot was three times the first, and the third twice the second. How large was each lot?

	4500 ft.; 13,000 ft.; 27,000 ft.
	4500 ft.; 13,500 ft.; 25,000 ft.
	4500 ft.; 13,500 ft.; 28,000 ft.
	4000 ft.; 13,500 ft.; 27,000 ft.

Question 5

A man traveled 90 miles in three days. If he traveled twice as far the first day as he did the third, and three times as far the second day as the third, how far did he go each day?

	30; 35; 10 miles.
	20; 40; 30 miles.
	30; 45; 15 miles.
	10; 35; 25 miles.

Question 6

In a company of 48 people there is one man to each five women. How many are there of each?

	6 men; 42 women
	6 men; 40 women
	8 men; 44 women
	8 men; 40 women

Question 7

A man left $1400 to be distributed among three sons in such a way that James was to receive double what John received, and John double what Henry received. How much did each receive?

	Henry, $300; John, $600; James, $1200
	Henry, $200; John, $500; James, $700
	Henry, $200; John, $400; James, $800
	Henry, $100; John, $300; James, $600

Question 8

James had 30 marbles. He gave a certain number to his sister, twice as many to his brother, and had three times as many left as he gave his sister. How many did each then have?

	James, 20; sister, 5; brother, 12
	James, 25; sister, 15; brother, 10
	James, 25; sister, 5; brother, 12
	James, 15; sister, 5; brother, 10

Question 9

There are three numbers whose sum is 96; the second is three times the first, and the third is four times the first. What are the numbers?

	12, 36, and 48.
	10, 30, and 40.
	12, 30, and 40.
	12, 36, and 46.

Question 10

The difference between two numbers is 36, and one is four times the other. What are the numbers?

	12; 48
	16; 48
	12; 40
	10; 40

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ALGEBRA WORD PROBLEMS 4

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Question 1

Three men, A, B, and C, earned $110; A earned four times as much as B, and C as much as both A and B. How much did each earn?

	A, $34; B, $11; C, $65.
	A, $34; B, $21; C, $65.
	A, $44; B, $21; C, $55.
	A, $44; B, $11; C, $55.

Question 2

A butcher bought a cow and a lamb, paying six times as much for the cow as for the lamb, and the difference of the prices was $25. How much did he pay for each?

	Cow, $25; lamb, $5.
	Cow, $45; lamb, $10.
	Cow, $30; lamb, $10.
	Cow, $30; lamb, $5.

Question 3

A farmer bought a horse, a cow, and a calf for $72; the cow cost twice as much as the calf, and the horse three times as much as the cow. What was the cost of each?

	Calf, $5; cow, $10; horse, $45.
	Calf, $8; cow, $16; horse, $48.
	Calf, $9; cow, $18; horse, $49.
	Calf, $6; cow, $12; horse, $46.

Question 4

A cistern, containing 1200 gallons of water, is emptied by two pipes in two hours. One pipe discharges three times as many gallons per hour as the other. How many gallons does each pipe discharge in an hour?

	150; 450 gal
	250; 550 gal
	450; 750 gal
	350; 650 gal

Question 5

A grocer sold one pound of tea and two pounds of co®ee for $1.50, and the price of the tea per pound was three times that of the coffee. What was the price of each?

	Tea, 90; coffee, 20.
	Tea, 90; coffee, 30.
	Tea, 100; coffee, 40.
	Tea, 80; coffee, 20.

Question 6

There are 120 pigeons in three flocks. In the second there are three times as many as in the first, and in the third as many as in the first and second combined. How many pigeons in each flock?

	15; 65; 60 pigeons
	15; 45; 60 pigeons
	15; 55; 70 pigeons
	15; 40; 60 pigeons

Question 7

By will Mrs. Cabot was to receive five times as much as her son Henry. If Henry received $20,000 less than his mother, how much did each receive?

	Mrs. C, $35,000; Henry, $5000
	Mrs. C, $25,000; Henry, $7500
	Mrs. C, $35,000; Henry, $7500
	Mrs. C, $25,000; Henry, $5000

Question 8

Divide 209 into three parts so that the first part shall be five times the second, and the second three times the third

	165; 33; 11.
	175; 33; 21.
	165; 43; 21.
	175; 33; 11.

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ALGEBRA WORD PROBLEMS 5

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Your answers are highlighted below.

Question 1

A man whose herd of cows numbered 63 had 17 more Jerseys than Hol- steins. How many had he of each?

	23 Hol.; 40 Jer.
	23 Hol.; 44 Jer.
	33 Hol.; 44 Jer.
	33 Hol.; 40 Jer.

Question 2

The sum of the ages of two brothers is 43 years, and one of them is 15 years older than the other. Find their ages.

	15 yrs.; 30 yrs.
	16 yrs.; 31 yrs.
	14 yrs.; 29 yrs.
	16 yrs.; 29 yrs.

Question 3

John and Henry together have 143 marbles. If I should give Henry 15 more, he would have just as many as John. How many has each?

	J, 79; H, 64
	J, 89; H, 54
	J, 79; H, 54
	J, 89; H, 64

Question 4

At an election in which 1079 votes were cast the successful candidate had a majority of 95. How many votes did each of the two candidates receive?

	692; 587 votes
	592; 567 votes
	492; 587 votes
	592; 567 votes

Question 5

Divide the number 70 into two parts, such that one part shall be 26 less than the other part.

	22; 48
	12; 38
	32; 58
	42; 68

Question 6

Divide the number 126 into two parts such that one part is 8 more than the other.

	59 and 77
	59 and 67
	69 and 77
	69 and 67

Question 7

In a class of 35 pupils there are 7 more girls than boys. How many are there of each?

	16 boys; 24 girls.
	14 boys; 21 girls.
	16 boys; 22 girls.
	15 boys; 22 girls.

Question 8

Find two numbers whose sum is 99 and whose difference is 19.

	49,50
	40; 59.
	30,49
	30,49

Question 9

In a storehouse containing 57 barrels there are 3 less barrels of four than of meal. How many of each?

	Flour, 37 bbls.; meal, 30 bbls
	Flour, 24 bbls.; meal, 27bbls
	Flour, 37 bbls.; meal, 40 bbls
	Flour, 27 bbls.; meal, 30 bbls

Question 10

Two men whose wages differ by 8 dollars receive both together $44 per month. How much does each receive?

	$18; $24
	$18; $26
	$18; $28
	$18; $22

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ALGEBRA WORD PROBLEM 6

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Question 1

Divide 111 into three parts so that the first part shall be 16 more than the second and 19 less than the third.

	26; 10; 54
	26; 10; 55
	36; 20; 54
	36; 20; 55

Question 2

A man owns three farms. In the first there are 5 acres more than in the second and 7 acres less than in the third. If there are 53 acres in all the farms together, how many acres are there in each farm?

	15; 10; 21 A.
	17; 12; 24 A.
	15; 10; 22 A.
	15; 12; 25 A.

Question 3

In an election, in which 1073 ballots were cast, Mr. A receives 97 votes less than Mr. B, and Mr. C 120 votes more than Mr. B. How many votes did each receive?

	A, 253; B, 360; C, 450 votes
	A, 253; B, 350; C, 470 votes
	A, 243; B, 350; C, 450 votes
	A, 243; B, 360; C, 470 votes

Question 4

Divide 62 into three parts such that the first part is 4 more than the second, and the third 7 more than the second.

	21; 16; 22
	21; 17; 22
	21; 16; 24
	21; 17; 24

Question 5

Divide 65 into three parts such that the second part is 17 more than the first part, and the third 15 less than the first.

	11; 28; 3.
	21; 28; 6
	11; 38; 6.
	21; 38; 6.

Question 6

Three firms lost $118,000 by fire. The second firm lost $6000 less than the first and $20,000 more than the third. What was each firm's loss?

	$50,000; $44,000; $24,000
	$50,000; $44,000; $20,000
	$55,000; $33,000; $24,000
	$55,000; $44,000; $20,000

Question 7

Three men together received $34,200; if the second received $1500 more than the first, and the third $1200 more than the second, how much did each receive?

	$10,000; $11,600; $12,800
	$10,000; $11,000; $12,800
	$10,000; $11,500; $12,700
	$10,000; $11,500; $12,800

Question 8

A man had 95 sheep in three flocks. In the first flock there were 23 more than in the second, and in the third flock 12 less than in the second. How many sheep in each flock?

	31; 8; 6 sheep
	61; 38; 26 sheep
	51; 28; 16 sheep
	41; 18; 6 sheep

Question 9

The sum of three numbers is 56; the second is 3 more than the first, and the third 5 more than the first. What are the numbers?

	16; 19; 22.
	16; 19; 21.
	14; 19; 21.
	16; 18; 21.

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ALGEBRA WORD PROBLEMS 7

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	Dict., $8.20; rhet, $1.0
	Dict., $7.20; rhet, $1.0
	Dict., $7.20; rhet, $.90
	Dict., $8.20; rhet, $.90

	Mr. A, 66; son, 22.
	Mr. A, 36; son, 12.
	Mr. A, 72; son, 22.
	Mr. A, 72; son, 24.

	Aleck, 59; Arthur, 9
	Aleck, 56; Arthur, 8
	Aleck, 42; Arthur, 8
	Aleck, 63; Arthur, 9

	312; 4144
	112; 4144
	122; 4444
	122; 4244

	50 A.; 600 A
	50 A.; 700 A
	50 A.; 300 A
	50 A.; 500 A

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ALGEBRA WORD PROBLEMS 1

ALGEBRA WORD PROBLEMS 2

ALGEBRA WORD PROBLEMS 3

ALGEBRA WORD PROBLEMS 4

ALGEBRA WORD PROBLEMS 5

ALGEBRA WORD PROBLEM 6

ALGEBRA WORD PROBLEMS 7

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	J, 20 yrs.; M, 4 yrs
	J, 15 yrs.; M, 5 yrs
	J, 12 yrs.; M, 6 yrs
	J, 13 yrs.; M, 7 yrs

	Mother, 14; daughter, 2
	Mother, 35; daughter, 5
	Mother,21 ; daughter, 3
	Mother, 28; daughter, 4

	Lot, $620; house, $3600
	Lot, $520; house, $3600
	Lot, $720; house, $3600
	Lot, $420; house, $3600

	J, 26 qts.; M, 17 qts.
	J, 16 qts.; M, 5 qts.
	J, 16 qts.; M, 7 qts.
	J, 12 qts.; M, 5 qts.

	26 pear; 8 apple.
	23 pear; 7 apple.
	23 pear; 5 apple.
	26 pear; 7 apple.

	Tea, $7.26; coffee, $2.33
	Tea, $9.37; coffee, $3.63
	Tea, $8.76; coffee, $1.63
	Tea, $3.43; coffee, $0.63