Question

Mary used Delicious (d) and Golden Delicious (g) apples to make homemade applesauce. Delicious apples are $0.75 each and Golden Delicious apples are $1.25 each. Mary spent $21.00 on 22 apples.

How many Golden Delicious apples did Mary buy?

Answer 1

Mary bought 9 Golden Delicious apples

Explanation:

This can be solved by setting up a system of equations. Based on the information given, the equations would be set up as follows.

`.75d+1.25g=21.00\\d+g=22`

I prefer to solve using substitution, but elimination can be used as well

`.75d+1.25g=21.00\\g=22-d`

We can now plug in this g value to the first equation

`.75d + 1.25 (22-d)=21.00\\.75d + 27.5-1.25d=21\\27.5-0.5d=21\\-.5d=-6.5\\d=13`

This means mary bought 13 delicious apples. She bought 22 apples in total, so the total number minus the amount of delicious apples will give us the amount of golden delicious apples.

22 - 13 = g

9 = g

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