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givi [52]
3 years ago
7

In total, Amy and Jack had $1377. Amy spent 0.8 of her money and Jack spent 1/3 of his. They spent the same amount of money.

Mathematics
1 answer:
serious [3.7K]3 years ago
4 0

Answer:

Ratio = 5/12

Jack had = $972

Step-by-step explanation:

<u>Given:</u>

  • Total money $1377
  • Amy had = x
  • Jack had = y
  • Amy spent = 0.8x
  • Jack spent = 1/3y
<h3>Part A</h3>

<u>Since they spent same amount of money:</u>

  • 0.8x = 1/3y
  • 8/10x=1/3y
  • x/y = 10*1/8*3 = 5/12

The ratio was 5/12

<h3>Part B</h3>

<u>Sum of money:</u>

  • x + y = 1377

<u>As per ratio, x = 5/12y, substituting x in above equation:</u>

  • 5/12y + y = 1377
  • 17/12y = 1377
  • y = 1377*12/17
  • y = 972

Jack had $972

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