SOLUTION: Nadiah had 120 stamps more than Huili. Nadiah gave 20% of her stamps to Huili. In return, Huili gave 50% of her stamps to Nadiah. In the end, Nadiah had 264 stamps more than Huili.

Question 869799: Nadiah had 120 stamps more than Huili. Nadiah gave 20% of her stamps to Huili. In return, Huili gave 50% of her stamps to Nadiah. In the end, Nadiah had 264 stamps more than Huili. How many stamps did Nadiah have at first?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Nadiah had 120 stamps more than Huili. Nadiah gave 20% of her stamps to Huili. In return, Huili gave 50% of her stamps to Nadiah. In the end, Nadiah had 264 stamps more than Huili. How many stamps did Nadiah have at first?
***
let x=number of stamps Huili had at first.
x+120=number of stamps Nadiah had at first.
20%(x+120)=number of stamps Nadiah gave to Huili.
50%x=number of stamps Huili gave to Nadiah.
...
.50x+(x+120)-.20(x+120)+x=264
.50x+x+120-.20x-24-x=264
.30x=168
x=560
x+120=680
number of stamps Nadiah had at first=680
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