SOLUTION: Please help me solve this word problem with steps. Thank You Andy has 27 coins made up of quarters and half dollars, and their total value is $9.00. How many quarters does he h

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Please help me solve this word problem with steps. Thank You Andy has 27 coins made up of quarters and half dollars, and their total value is $9.00. How many quarters does he h      Log On

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Question 737413: Please help me solve this word problem with steps. Thank You
Andy has 27 coins made up of quarters and half dollars, and their total value is $9.00. How many
quarters does he have?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +q+ = number of quarters
Let +h+ = number of half dollars
---------------
(1) +q+%2B+h+=+27+
(2) +25q+%2B+50h+=+900+ ( in cents )
--------------------------------
(2) +q+%2B+2h+=+36+
Subtract (1) from (2)
(2) +q+%2B+2h+=+36+
(1) +-q+-+h+=+-27+
+h+=+9+
and
(1) +q+%2B+h+=+27+
(1) +q+=+18+
There are 18 quarters and 9 half dollars