Lauren saved $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

anonymous · Answer

Solve the following two simultaneous equations:$$\left\{\text{Lauren} \text{=}\text{Fiona}+84,\frac{1}{5}\text{Lauren}=\frac{3}{8 }\text{Fiona}\right\}$$$276 was the total savings.

anonymous · Answer

Thank you, but I don't understand how you got that answer.

anonymous · Answer

Prior posting had an error.

Replace Lauren in the second equation with Fiona + 84 and then solve the result for Fiona.
Does that help you?

anonymous · Answer

You can get rid of the fractions by multiplying each side by 40.

anonymous · Answer

?????? i think the equations that u wrote at first was right

anonymous · Answer

Thanks, robtobey! I got the answer, thanks again!

anonymous · Answer

You are welcome.  In the last few minutes I put together a Mathematica solution which is attached.