Quincy sold quilts for $30 each and blankets for $15 each. He earned a total of $300 from selling these items. Let x be the number of quilts Quincy sold and y be the number of blankets. The system of equations that models this scenario is: 30 x plus 15 y is equal to 300 x plus y is equal to 15 How many quilts and blankets did Quincy sell?
Answer
A
7 quilts and 8 blankets
B
10 quilts and 5 blankets
C
5 quilts and 10 blankets
D
15 quilts and 0 blankets
Explanation
The equations are 30x + 15y = 300 and x + y = 15. Divide the first equation by 15 to get 2x + y = 20; subtract x + y = 15, giving x = 5. Then y = 10, so Quincy sold 5 quilts and 10 blankets, choice C.
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