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Emily has saved 2/7 as much as Cindy. Then Cindy gives 1/7 of her money to Emily. Now Cindy has $30 more than Emily. How much did Emily have at first? What is the ratio of Emily's money to Cindy's?

 May 14, 2022
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 What is the ratio of Emily's money to Cindy's?

 

Hello Guest!

 

\(e=\frac{2c}{7}\\ e+\frac{c}{7}=\frac{6c}{7}-30\\ e=\frac{5c}{7}-30\\ \frac{2c}{7}=\frac{5c}{7}-30\\ -\frac{3c}{7}=-30\\ \color{blue}c_{start}=70\)

\(e=\frac{2}{7}c\\ \color{blue}e_{start}=20\)

\(\frac{e+\frac{c}{7}}{\frac{6c}{7}-30}=\frac{20+10}{60-30}=\color{blue}\frac{1}{1}\)

The ratio of Emily's money to Cindy's is 1 : 1.

laugh  !

 May 14, 2022
edited by asinus  May 14, 2022

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