Mathematics: 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?

In total, Amy and Jack had $1377. Amy spent 0.8

swagisminecraft

31.01.2022

Ratio = 5/12

Jack had = $972

Step-by-step explanation:

Given:

Total money $1377Amy had = xJack had = yAmy spent = 0.8xJack spent = 1/3yPart A

Since they spent same amount of money:

0.8x = 1/3y8/10x=1/3yx/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 = 137717/12y = 1377y = 1377*12/17y = 972

Jack had $972

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