each person starts with $8.
Step-by-step explanation:
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.
⇒ [tex]\frac{x+10}{2}[/tex] ,Now , Josh have $[tex]\frac{x+10}{2}[/tex] & Carly have [tex]x + \frac{x+10}{2}[/tex] .
Then Carly had more money than josh, so she gave Josh $4 . So ,
Josh now have $[tex](4+\frac{x+10}{2})[/tex] and Carly now have $[tex](x+\frac{x+10}{2} -4)[/tex] . Since both are equal :
⇒ [tex](x+\frac{x+10}{2} -4) = (4+\frac{x+10}{2})[/tex]
⇒ [tex]x-4 = 4[/tex]
⇒ [tex]x=8[/tex]
Therefore , each person starts with $8.
