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# Concept - Fraction of Different Sets

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John and George had some money at first. John spent 2/5 of his money and had \$240 left. George spent 4 times as much money as John and had 1/3 of his money left. How much money did George have at first?

Apr 15, 2021

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"John spent 2/5 of his money and had \$240 left."

First, we know that 3/5 of the money is \$240 dollars. If we want to figure out 1/5 of the money we just have to divide 240 by 3!

240 divided by 3 is 80!

To figure out 2/5 we just multiply 80 by 2 which is 160!

"George spent 4 times as much money as John and had 1/3 of his money left"

We know that John spent \$160 so 4 times 160 is just multiplication!

4 times 160 is 640!

We know that 640 is 2/3 of George's money, so to figure out 1/3 we just divide 640 by 2!

620 divided by 2 is 320!

320 is 1/3 so multiplying 320 by 3 will get us our answer

The full amount of George's money is 960!

Hope this helped!

Apr 15, 2021
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