SOLUTION: Lauren save $84 more than Fiona. 1/5 of Lauren's savings was the same as 3/8 of Fiona's savings. How much did Lauren and Fiona save altogether?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Lauren save $84 more than Fiona. 1/5 of Lauren's savings was the same as 3/8 of Fiona's savings. How much did Lauren and Fiona save altogether?       Log On


   

Question 1125005: Lauren save $84 more than Fiona. 1/5 of Lauren's savings was the same as 3/8 of Fiona's savings. How much did Lauren and Fiona save altogether?
Answer by ikleyn(52792) About Me  (Show Source):
You can put this solution on YOUR website!
.
From the condition, you have this system of 2 equations


L - F = 84         (1)

%281%2F5%29%2AL = %283%2F8%29%2AF.     (2)


To solve it, first multiply eq(2) by 5 (both sides). You will get


L = %2815%2F8%29%2AF.         (3)


Now substitute expression (3) into eq(2). You will get


%2815%2F8%29%2AF - F = 84,

%287%2F8%29%2AF = 84  ====>  F = %288%2F7%29%2A84 = 96.


Hence, Fiona saved 96 dollars.


Then Lauren solved  84 + 96 = 180 dollars.


Together, they saved  180 + 96 = 276 dollars.

Solved.