Question

At the beginning of the week, Josh had 32 computer games, 133% as many computer games than Peter had. By the end of the week, Josh gave Peter 25% of his computer games. How many computer games did Josh and Peter each have bythe end of the week?

a. Josh had 8 games; Peter had 24 games.
b. Josh had 24 games; Peter had 8 games.
c. Josh had 24 games; Peter had 32 games.
d. Josh had 32 games; Peter had 24 games.

Answer 1

The correct answer is letter c. Josh had 24 games and Peter had 32 by the end of the week.

Explanation:

We know that Josh has a total of 32 games, while that value is 133% as many as Peter's, therefore the number of games Peter had at the beginning of the week is:

`josh = (133)/(100)*peter\\peter = (josh)/(1.33)\\peter = (32)/(1.33)\\peter = 24.06`

At the beginning of the week Peter had 24 games. At the end of the week Josh gave Peter 25% of his games, therefore Peter's total is:

`peter = 24 + 0.25*josh\\peter = 24 + 0.25*32\\peter = 24 + 8 = 32`

While Josh had:

`josh = 32 - 8 = 24`

The correct answer is letter c.