Writing and Solving Equations in Two Variables — Quiz
Question 7 • Mathematics I
Hanna shops for socks that cost 2 point 9 9 dollars for each pair and blouses that cost 12 point 9 9 dollars each. Let x represent the number of pairs of socks purchased, and let y represent the number of blouses purchased. Which equation models the purchases she made with 43 point 9 2 dollars ?
Answer
A
2 point 9 9 x plus 12 point 9 9 y is equal to 43 point 9 2
B
x plus y is equal to 43 point 9 2
C
x plus y is equal to 15 point 9 8
D
43 point 9 2 x minus 2 point 9 9 y is equal to 12 point 9 9
Explanation
The total cost is the cost per item multiplied by how many of each item Hanna buys. Socks cost $2.99 per pair, so their cost is 2.99x; blouses cost $12.99 each, so their cost is 12.99y. The combined cost is $43.92, giving 2.99x + 12.99y = 43.92, choice A.
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