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?
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.
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