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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.
H + C= 15 AND 4H + 2C= 44
S + A = 530 AND 3S + 4A = 1740
S=B+8 AND 2S+3B=156
4M + 7R = 3365 AND M + R = 578
E + A = 33 AND E = 2A - 3
L=3W AND 2L+2W=86
4A + 6B = 13 AND 3A + 7B = 13.5
t + n = 54 AND t = 3n + 8
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?
H + C= 15 AND 4H + 2C= 44
S + A = 530 AND 3S + 4A = 1740
S=B+8 AND 2S+3B=156
4M + 7R = 3365 AND M + R = 578
E + A = 33 AND E = 2A - 3
L=3W AND 2L+2W=86
4A + 6B = 13 AND 3A + 7B = 13.5
t + n = 54 AND t = 3n + 8
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?
H + C= 15 AND 4H + 2C= 44
S + A = 530 AND 3S + 4A = 1740
S=B+8 AND 2S+3B=156
4M + 7R = 3365 AND M + R = 578
E + A = 33 AND E = 2A - 3
L=3W AND 2L+2W=86
4A + 6B = 13 AND 3A + 7B = 13.5
t + n = 54 AND t = 3n + 8
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?
H + C= 15 AND 4H + 2C= 44
S + A = 530 AND 3S + 4A = 1740
S=B+8 AND 2S+3B=156
4M + 7R = 3365 AND M + R = 578
E + A = 33 AND E = 2A - 3
L=3W AND 2L+2W=86
4A + 6B = 13 AND 3A + 7B = 13.5
t + n = 54 AND t = 3n + 8
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.
H + C= 15 AND 4H + 2C= 44
S + A = 530 AND 3S + 4A = 1740
S=B+8 AND 2S+3B=156
4M + 7R = 3365 AND M + R = 578
E + A = 33 AND E = 2A - 3
L=3W AND 2L+2W=86
4A + 6B = 13 AND 3A + 7B = 13.5
t + n = 54 AND t = 3n + 8
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?
H + C= 15 AND 4H + 2C= 44
S + A = 530 AND 3S + 4A = 1740
S=B+8 AND 2S+3B=156
4M + 7R = 3365 AND M + R = 578
E + A = 33 AND E = 2A - 3
L=3W AND 2L+2W=86
4A + 6B = 13 AND 3A + 7B = 13.5
t + n = 54 AND t = 3n + 8
The length (L) of a rectangle is equal to triple the width (W). The perimeter of the rectangle is 86 centimeters.
H + C= 15 AND 4H + 2C= 44
S + A = 530 AND 3S + 4A = 1740
S=B+8 AND 2S+3B=156
4M + 7R = 3365 AND M + R = 578
E + A = 33 AND E = 2A - 3
L=3W AND 2L+2W=86
4A + 6B = 13 AND 3A + 7B = 13.5
t + n = 54 AND t = 3n + 8
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?
H + C= 15 AND 4H + 2C= 44
S + A = 530 AND 3S + 4A = 1740
S=B+8 AND 2S+3B=156
4M + 7R = 3365 AND M + R = 578
E + A = 33 AND E = 2A - 3
L=3W AND 2L+2W=86
4A + 6B = 13 AND 3A + 7B = 13.5
t + n = 54 AND t = 3n + 8
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