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https://web2.0calc.com/questions/fractions_48722

 May 28, 2021
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3/5 of Alan’s money was 4/5 of Barry’s money. If Barry gave Alan \(30,\ then\ {\color{blue}Alan}\ would\ have\) 100 more than the amount Barry had left. How much did Barry have at first?

 

Hello Guest!

 

\(\dfrac{3a}{5}=\dfrac{4b}{5}\\ b-30+100=a+30\\ \)

\(b=\dfrac{3a}{4}\ |\ deploy\\ \dfrac{3a}{4}-30+100=a+30\ |\ -\frac{3a}{4}-30\\ -30+100-30=\dfrac{a}{4}\)

\(a=160\)

\(b=\dfrac{3a}{4}\)

\(b=120\)

 

 

Barry initially has 120.

laugh  !

 May 29, 2021

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