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At the beginning of the week, Josh had 323232 computer games, 133\33, percent as many computer games as Peter had. By the end of the week, Josh gave 25\%%, percent of his computer games to Peter. How many computer games did Josh and Peter each have by the end of the week

Respuesta :

MrRoyal

Answer:

[tex]Josh =24[/tex]

[tex]Peter = 32[/tex]

Step-by-step explanation:

Given

Beginning of Week

[tex]Josh = 32[/tex]

[tex]Josh = 133\% * Peter[/tex]

First, we calculate the amount Peter has at the beginning of the week

[tex]Josh = 133\% * Peter[/tex]

Make Peter the subject

[tex]Peter = \frac{Josh}{133\%}[/tex]

[tex]Peter = \frac{32}{133\%}[/tex]

[tex]Peter = \frac{32}{1.33}[/tex]

[tex]Peter = 24[/tex]

When Josh gave out 25%.

The number (n) of computers is:

[tex]n = Josh * 25\%[/tex]

[tex]n = 32 * 25\%[/tex]

[tex]n = 8[/tex]

This means that Josh gave out 8 computers.

So, the amount they both have is:

[tex]Josh =32 - 8[/tex]

[tex]Josh =24[/tex]

[tex]Peter = 24+8[/tex]

[tex]Peter = 32[/tex]

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