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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

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