At the beginning of the week, Josh had $133\%$ computer games, as many computer games as Peter had. By the end of the week, Josh gave $25\%$ of his computer games to Peter. How many computer games did Josh and Peter each have by the end of the week?

Full solution

Q. At the beginning of the week, Josh had

133\%

computer games, as many computer games as Peter had. By the end of the week, Josh gave

25\%

of his computer games to Peter. How many computer games did Josh and Peter each have by the end of the week?

Calculate Peter's games: Josh had $133\%$ as many games as Peter. Let's say Peter had $x$ games. Then Josh had $1.33x$ games.
Calculate games given to Peter: By the end of the week, Josh gave away $25\%$ of his games to Peter. So Josh gave away $0.25 \times 1.33x$ games.
Calculate remaining games: Calculate the number of games Josh gave to Peter: $0.25 \times 1.33x = 0.3325x$ games.
Calculate remaining games: Calculate the number of games Josh gave to Peter: $0.25 \times 1.33x = 0.3325x$ games.Subtract the games Josh gave away from his total to find out how many he has left: $1.33x - 0.3325x = x$ games.