SOLUTION: kim falgout's daughter, madeline, has a piggy bank with 64 coins. some are quarters,and the rest are half- dollars. if the total value of the coins is $20.00, how many of each deno

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Question 411981: kim falgout's daughter, madeline, has a piggy bank with 64 coins. some are quarters,and the rest are half- dollars. if the total value of the coins is $20.00, how many of each denomination does she have?
1) how many quarters are in her piggy bank?
2) how many half- dollars are in her bank?

Answer by emargo19(101) About Me  (Show Source):
You can put this solution on YOUR website!
Madeline has total of 64 coins.
Number of coins:
x = number of Quaters
64-x = number of half dollars.
Value in cents:
25x = Number of cents in quarters
50(64-x) = number of cents in half dollars
Remember that everything has to be changed to cents. So $20.00 has to be changed to cents by multiplying with 100. $20.00 = 20 * 100 = 2000 cents.
25x%2B50%2864-x%29=2000
25x%2B3200%2B50x=2000
25x-50x=2000-3200
-50x=-1200
x=48
64-x=64-48=16
She has 48 Quarters and 16 Half-dollars.