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?

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(52797) (Show Source): You can put this solution on YOUR website!
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From the condition, you have this system of 2 equations


L - F = 84         (1)

 = .     (2)


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


L = .         (3)


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


 - F = 84,

 = 84  ====>  F =  = 96.


Hence, Fiona saved 96 dollars.


Then Lauren solved  84 + 96 = 180 dollars.


Together, they saved  180 + 96 = 276 dollars.

Solved.

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