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Matthew gave 1/4 of his stickers to May and 1/2 of the remainder to Lily. He then bought 24 new stickers. As a result, he had 102 stickers with him. How many stickers did he give away altogether?

 Sep 18, 2021
 #1
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How many stickers did he give away altogether?

 

Hello Guest!

 

Mathew owns x.

\(\frac{x}{4}+2\cdot\frac{x-\frac{x}{4}}{2}+24=102\\ \frac{x}{4}+x-\frac{x}{4}+24=102\\x=78\)

 

78/4=19.5   (78-19.5)/2=29.25

 

Matthew gave \(19\frac{1}{2}\) stickers to May and \(29\frac{1}{4}\) an Lily.

 

This is strange, I have to check:

\(x-(\frac{x}{4}+\frac{{x-\frac{x}{4}}}{2})+24=102\)

\(\frac{4x-x-2x+\frac{x}{2}}{4}=102-24\\ 1.5x=312\\ x=208 \)

 

208/4=52    (208-52)/2=78

 

Matthew gave 52 stickers to May and 78 an Lily.

laugh  !

 Sep 18, 2021
edited by asinus  Sep 18, 2021
edited by asinus  Sep 18, 2021
edited by asinus  Sep 19, 2021

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