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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.
A) What was the ratio of Amy's money to Jack's money?
B) How much did Jack have at first? ​

Respuesta :

mhanifa

Answer:

Ratio = 5/12

Jack had = $972

Step-by-step explanation:

Given:

  • Total money $1377
  • Amy had = x
  • Jack had = y
  • Amy spent = 0.8x
  • Jack spent = 1/3y

Part A

Since they spent same amount of money:

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

The ratio was 5/12

Part B

Sum of money:

  • x + y = 1377

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

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

Jack had $972

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