+54 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?
+515 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
+515 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
