Question

In baseball season,Peter hit twice the different of the 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?

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Answer 1

Answer:

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

30/ 3 = 10 ( no. of home runs)

2(x - 6) = 2 (10 - 6 ) = 2×4 = 8

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

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Answer 2

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