Posted by **Tyler** on Tuesday, January 1, 2013 at 8:10pm.

Madison spent 5/8 of her savings on a microwave oven & a refrigerator. She used 4/7 of the amount she spent to buy the refrigerator. The refrigerator cost $280 more than the microwave oven. How much savings did Madison start with?

- math -
**Reiny**, Tuesday, January 1, 2013 at 8:43pm
let the amount of her savings be x

cost of both = (5/8)x

cost of fridge = (4/7)(5/8)x = (5/14)x

(5/8)x - (5/14)x = 280

15x/56 = 280

15x = 15680

x = 1045.33

Here savings were $1053.33

cost of fridge = ((5/14)(1045.33 = 373.33

cost of both = (5/8)(1045.33) = 653.33

difference = 653.33 - 373.33 = 280

all checks out

- math -
**Chris Serrano**, Saturday, January 9, 2016 at 10:08pm
m= microwave

r= refrigerator

s= savings

m+r=5/8s

r=4/7 x 5/8s=5/14s

r=5/14s

m=r-280

m=5/14s-280

m + r = 5/8s

5/14s-280 + 5/14= 5/8s

5/14s+5/14s-5/8 = 280

10/112s = 280

s= 280x112/10

s= savings = $3,136

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