SOLUTION: The ratio of Charlie's candy to Sera's candy is 4:6. Sera has 6 more pieces of candy than Charlie. If Sera gives 1/2 of her candy to Charlie, what will be the new ratio of Charli

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The ratio of Charlie's candy to Sera's candy is 4:6. Sera has 6 more pieces of candy than Charlie. If Sera gives 1/2 of her candy to Charlie, what will be the new ratio of Charli      Log On


   

Question 995048: The ratio of Charlie's candy to Sera's candy is 4:6. Sera has 6 more pieces of candy than Charlie. If Sera gives 1/2 of her candy to Charlie, what will be the new ratio of Charlie's candy to Sera's?
Answer by josgarithmetic(39799) About Me  (Show Source):
You can put this solution on YOUR website!
Finding the actual counts of each persons' candies seems most direct.

c:s is 4:6;
system%28c%2Fs=4%2F6%2Cs=c%2B6%29
c=%282%2F3%29s
-
s=%282%2F3%29s%2B6
s-2s%2F3=6
3s-2s=18
highlight%28s=18%29

c=%282%2F3%29s=%282%2F3%2918=12
highlight%28c=12%29

Sara gives 18%2F2=9 of her pieces to Charlie.
Sarah: 18-9=9
Charlie: 12%2B9=21
-
Now, the new ratio c:s is 21:9 or 7:3.