Writing Systems Of Equations From WORD PROBLEMS Question Preview (ID: 54593)


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At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which systems could find the price of the textbook and novel?
a) t + n = 54 AND t = 3n + 8
b) t + n = 54 AND t = 3n - 8
c) t + n = 54 AND n = 3t + 8
d) t + n = 8 AND t = 3n + 54

Josh is thinking of two numbers. Their sum is -10 and their difference is -2. Which system of equations represents the situation?
a) x - y = -10 AND x + y = -2
b) x = -2 AND y = 5
c) x + y = -2 AND x - y = -10
d) x + y = -10 AND x - y = -2

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?
a) 4A + 6B = 3 AND 13.5A - 13B = 6
b) A + B = 4 AND A - B = 6
c) 4A + 6B = 13 AND 3A + 7B = 13.5
d) 4A - 6B = 13 AND 3A - 7B = 13.5

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?
a) S + A = 530 AND 4S + 3A = 1740
b) S + A = 530 AND 3S + 4A = 1740
c) S + A = 1740 AND 3S + 4A = 530
d) S + A = 1740 AND 4S + 3A = 530

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. Choose the system that matches the situation.
a) E + A = 33 AND A = 2E - 3
b) E + A = 33 AND E = 2A - 3
c) E + A = 33 AND E = 3 - 2A
d) E + A = 3 AND E = 33 - 2A

Flagship Cinemas sells movie tickets that are $4 for matinees (M) and $7 for regular (R). One night, the theater sells 578 tickets and collects $3365 in total ticket sales. Which system best represents the situation?
a) 4M + 7R = 578 AND M + R = 3365
b) 4R + 7M = 578 AND M + R = 3365
c) 4M + 7R = 3365 AND M + R = 578
d) 4R + 7M = 3365 AND M + R = 578

There are 15 animals in a barn. These animals are horses (H) and chickens (C). There are 44 legs in all. Which system of equations represents the situation?
a) H + C= 15 AND 4H + 2C= 44
b) H + C = 44 AND 4H + 2C = 15
c) H - C=15 AND 4H + 2C=44
d) H + C = 15 AND 2H+ 4C = 44

The length (L) of a rectangle is equal to triple the width (W). The perimeter of the rectangle is 86 centimeters.
a) W=3L AND 2L+2W=86
b) L=3W AND L+W=86
c) L=3+W AND LW=86
d) L=3W AND 2L+2W=86

Eliezer's Ice-Cream Shop sells sundaes (S) for $2 and banana splits (B) for $3. On a hot summer day, he sold 8 more sundaes than banana splits and made $156.
a) S=B+8 AND 3S+2B=156
b) S=B+8 AND 2S+3B=156
c) B=S+8 AND 2S+3B=156
d) S=8B AND 2S+3B=156

Dennis mowed his next door neighbor’s lawn for a handful of dimes(d) and nickels(n), 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system of equations could find the number of dimes and nickels?
a) d + n = 80 AND 0.10d + 0.05n = 6.60
b) d + n = 6.60 AND 0.10d + 0.05n = 80
c) d + n = 80 AND d + n = 6.60
d) d + n = 80 AND 0.05d + 0.10n = 6.60

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