Question

In one baseball season, Peter hit twice the difference of the

number of home runs Alice hit and 6. Altogether, they hit
18 home runs. How many home runs did each player hit
that season?

Answer 1

Alice hit 10 home runs.

Peter hit 8 home runs.

Explanation:

Let
`p` be the number of home runs Peter hit.

Let
`a` be the number of home runs Alice hit.

`p=2(a-6)\\a+p=18\\\\a+2(a-6)=18\\a+2a-12=18\\a+2a=30\\3a=30\\a=10\\\\a+p=18\\10+p=18\\p=8\\\\p=2(a-6)\\8=2(10-6)\\8=2(4)\\8=8`