How many home runs did Peter hit? How many home runs did Alice hit? What is the equation the represents this situation?

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? Let h represent Alice's home runs.

Answer 1

Let x = the number of home runs that Alice hit

Let 2(x-6) = the number of home runs that Peter hit

x + 2x - 12 = 18

3x = 30

x = 10 for Alice

2(10-6) = 8 for Peter