Answer:
Lauren's saving=$180
Fiona's saving=$96
Step-by-step explanation:
Let the saving's of fiona be x
Now given that the savings of lauren is $84 more than fiona which means the saving's of lauren is x+84
Given 1 fifth Of Lauren's saving was the same as 3 eights of fiona's Saving
[tex]\frac{1}{5}(lauren's saving)=\frac{3}{8}(fiona's saving)[/tex]
[tex]\frac{1}{5}(x+84)=\frac{3}{8}(x)[/tex]
[tex]8x+672=15x[/tex]
[tex]7x=672\\x=96[/tex]
Therefore the saving's of fiona is $96 and the saving's of Lauren's is 96+84=$180