SOLUTION: On the day after Halloween, Nina had 5 times as much candy as Taylor. If Nina gives 12 pieces of candy to Taylor they will each have the same amount. How many pieces of candy do

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Question 843792: On the day after Halloween, Nina had 5 times as much candy as Taylor. If Nina gives 12 pieces of candy to Taylor they will each have the same amount. How many pieces of candy do they have in all?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Nina had 5 times as much candy as Taylor.
If Nina gives 12 pieces of candy to Taylor they will each have the same amount. How many pieces of candy do they have in all?
:
Let t = amt of candy had by Taylor
then, since Nina had five times as much;
5t = amt had by Nina
:
N gives 12 to T
5t - 12 = t + 12
5t - t = 12 + 12
4t = 24
t = 24/4
t = 6 candies had by Taylor
and
5(6) = 30 candies had by Nina
then obviously, 36 candies in all