Question

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? ​

Answer 1

Ratio = 5/12

Jack had = $972

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