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Of relation.

Jess and Marie share money in the ratio of 3:5. If they have 64 dollars, how much does Marie have?
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4 votes

Answer: 40 dollars

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Step-by-step 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

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