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Cooper and his children went into a grocery store and he bought $6 worth of apples and bananas. Each apple costs $1 and each banana costs $0.50. He bought a total of 10 apples and bananas altogether. Determine the number of apples, x, and the number of bananas, y, that Cooper bought.

 Apr 19, 2020
 #1
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For this problem, you can set up a system of equations:

 

\(x+y=10\)

\(x+0.5y=6\)

 

We can multiply the top equation by -1 so it becomes \(-x-y=-10\).

 

\(-x-y=-10\)

\(x+0.5y=6\)

 

Now, we can use elimination to cancel out the \(x\)

\(-0.5y=-4 \)

\(y=8\)

 

Because y=2, x must be 8 since x+y=10. So, \(\boxed{x=2,y=8}\)

.
 Apr 19, 2020

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