Carl had $840 more than Daisy. Carl spent 3/4 and Daisy spent 3/5 of their money respectively. Daisy was then left with $60 more than Carl. How much did Carl have at first?

Respuesta :

Carl had 1920 dollars at first.

Word Problem leading to equation

Given that Carl had $840 more than Daisy.

Let Daisy money = M

Carl Money = 840 + M

If Carl spent 3/4 and Daisy spent 3/5 of their money respectively. That is,

for Carl: 3/4 × (840 + M) = 630 + 3M/4

The remaining amount = (840 + M) - (630 + 3M/4)

Amount = 210 + M/4

for Daisy: 3/5 × M = 3M/5

The remaining amount = M - 3M/5

Amount = 2M/5

Daisy was then left with $60 more than Carl. Then,

2M/5 = 60 + 210 + M/4

2M/4 = 270 + M/4

Collect the like terms

2M/4 - M/4 = 270

M/4 = 270

M = 4 × 270

M = 1080 dollars

Since Carl had $840 more than Daisy, Carl amount = 840 + 1080

Carl amount = 1920 dollars

Therefore, Carl had 1920 dollars at first.

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