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 x home runs.
Peter hit twice the difference of the number of home runs Alice hit and 6, so he hit 2(x-6) home runs.
Altogether they hit 18 home runs.


`x+2(x-6)=18 \\ x+2x-12=18 \\ 3x-12=18 \\ 3x=18+12 \\ 3x=30 \\ x=(30)/(3) \\ x=10 \Leftarrow \hbox{the number of home runs Alice hit} \\ \\ \hbox{the number of home runs Peter hit:} \\ 2(x-6)=2(10-6)=2 * 4=8`

Alice hit 10 home runs, Peter hit 8 home runs.