+14915 3/5 of Adam's savings is equal to 2/3 of Ben savings. The difference in their savings is equal to 1/5 of Cory's savings. Given that Adam saves $35 more than Cory, how much must Ben give to Cory so that both of them have the same amount of savings?
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\(\color{blue}\dfrac{3a}{5}=\dfrac{2b}{3}\\ \color{blue}a-b=\dfrac{c}{5}\\ \color{blue}a=c+35\\ c=5a-5b\\ c=a-35\)
\(5a-5b=a-35\\ b=\dfrac{4a}{5}+7\\ \dfrac{3a}{5}=\dfrac{2b}{3}\\ \dfrac{3a}{5}=\dfrac{2\cdot (\dfrac{4a}{5}+7) }{3}\\ 9a=10\cdot (\dfrac{4a}{5}+7)\)
\(9a=8a+70\\ \color{blue}a=70 \)
\(b=\dfrac{4a}{5}+7\\ \color{blue}b=63\\ c=a-35\\ \color{blue}c=35\)
\(63-x=35+x\\ 2x=28\\ \color{blue}x=14\)
Ben has to give Corry $ 14 so that both of them have the same amount of savings.
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