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At first James had an equal number of red and blue stickers. He gave away 2/3 of his red stickers and some blue stickers. In the end, he was left with 1/4 of his stickers. What fraction of his blue stickers did James give away?

How many red stickers did James have if he had given 125 blue stickers away?

mitgliedd1 May 18, 2021

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let x = # of red and blue stickers

2x = total stickers

$2x-\frac23x-125=\frac14\cdot2x$

$2x-\frac{2}{3}x=\frac{1}{2}x+125$

$\frac{5}{6}x=125$

$5x=750$

$x=150$

Question #1: $\frac{125}{150}=\frac{5}{6}$

Question #2: 150

mworkhard222 May 18, 2021

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Very nice, mworkhard !!!!

CPhill May 18, 2021

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Agreed

apsiganocj May 18, 2021

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mworkhard222 · Answer 1 · 2021-05-18T03:22:11

let x = # of red and blue stickers

2x = total stickers

$2x-\frac23x-125=\frac14\cdot2x$

$2x-\frac{2}{3}x=\frac{1}{2}x+125$

$\frac{5}{6}x=125$

$5x=750$

$x=150$

Question #1: $\frac{125}{150}=\frac{5}{6}$

Question #2: 150

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