Question 1001934
e = emily's money.
k = katie's money


you get:


1/3 * e = 2/5 * k


you know that k = 24.5


you get:


1/3 * e = 2/5 * 24.5


solve for e to get:


e = 6/5 * 24.5


the sum of their money is e + k


since k = 24.5 and e = 6/5 * 24.5, then the sum of their money is 6/5 * 24.5 + 24.5


simplify to get the sum of their money is 29.4 + 24.5


simplify further to get the sum of their money is 53.9


emily has 29.4
katy has 24.5


you are given that:


1/3 * 29.4 = 2/5 * 24.5


simplify to get:


9.8 = 9,8


all requirements of the problem are satisfied.


the solution is that the two sisters have $53.90 together.