Answer it there theeblackbadger

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.

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