At the beginning of the week, josh had $32$ computer games, $133\%$ 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

32

computer games,

133\%

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 Initial Games: Calculate how many games Peter had at the beginning of the week based on the information that Josh had $133\%$ as many games as Peter. $\newline$ Peter's games = Josh's games / $133\%$ = $32 / 1.33 = 24.06$ , round down to $24$ games.
Determine Games Given by Josh: Determine how many games Josh gave to Peter by calculating $25\%$ of Josh's games. $\newline$ Games given by Josh = $25\%$ of $32$ = $0.25 \times 32 = 8$ games.
Calculate New Game Totals: Calculate the new number of games Josh and Peter each have after the transfer. $\newline$ Josh's new total = $32 - 8 = 24$ games, $\newline$ Peter's new total = $24 + 8 = 32$ games.