ALGEBRA WORD PROBLEMS PART 1

ALGEBRA WORD PROBLEMS 1

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MASTER WORD PROBLEMS Start

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Question 1

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

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

Question 2

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

Question 3

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

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

Question 4

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 5

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

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

Question 6

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

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

Question 7

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?

	6 miles
	10 miles
	8 miles
	12 miles

Question 8

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

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

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

Question 10

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

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ALGEBRA WORD PROBLEMS 2

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ALGEBRA WORD PROBLEMS 3

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Question 1

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 2

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

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

Question 3

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

Question 4

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 5

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

Question 6

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

Question 7

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

Question 8

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

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

Question 9

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?

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

Question 10

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

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

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

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

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

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

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ALGEBRA WORD PROBLEMS PART 1

ALGEBRA WORD PROBLEMS 1

ALGEBRA WORD PROBLEMS 2

ALGEBRA WORD PROBLEMS 3

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

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

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