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svet-max [94.6K]
3 years ago
11

Josh had $10 more than Carly, so he gave Carly half of his money. Then Carly had more money than josh, so she gave Josh $4. Then

they both had $13. How much money did each person start?
Mathematics
1 answer:
DedPeter [7]3 years ago
8 0

each person starts with $8.

<u>Step-by-step explanation:</u>

Here we have , Josh had $10 more than Carly, so he gave Carly half of his money. Then Carly had more money than josh, so she gave Josh $4. Then they both had $13. We need to find  How much money did each person start  . Let's find out:

Suppose Carly had $x ,  Josh had $10 more than Carly i.e. $(x+10), so he gave Carly half of his money i.e.

⇒ \frac{x+10}{2} ,Now , Josh have $\frac{x+10}{2}  & Carly have x + \frac{x+10}{2} .

Then Carly had more money than josh, so she gave Josh $4 . So ,

Josh now have $(4+\frac{x+10}{2})  and  Carly now have $(x+\frac{x+10}{2} -4) . Since both are equal :

⇒  (x+\frac{x+10}{2} -4) = (4+\frac{x+10}{2})

⇒  x-4 = 4

⇒  x=8

Therefore , each person starts with $8.

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