Answer :
Answer: 40 dollars
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Explanation:
The ratio 3:5 is equivalent to 3x:5x after multiplying both parts by x.
Jess has 3x dollars and Marie has 5x dollars
3x+5x = 64
8x = 64
x = 64/8
x = 8
Therefore,
- Jess has 3x = 3*8 = 24 dollars
- Marie has 5x = 5*8 = 40 dollars
The ratio 24:40 reduces to 3:5 after dividing both parts by the GCF 8.
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Another way to solve:
m = amount Marie has
64-m = amount Jess has
3/5 = (64-m)/m
3m = 5(64-m)
3m = 320-5m
3m+5m = 320
8m = 320
m = 320/8
m = 40 dollars is the amount Marie has