SOLUTION: Owen has $2.92 in his piggy bank. He has two more pennies than he has quarters; he has 3 more dimes the he has quarters; and he has twice as many nickles as dimes. How many of each

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Owen has $2.92 in his piggy bank. He has two more pennies than he has quarters; he has 3 more dimes the he has quarters; and he has twice as many nickles as dimes. How many of each      Log On

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Question 732166: Owen has $2.92 in his piggy bank. He has two more pennies than he has quarters; he has 3 more dimes the he has quarters; and he has twice as many nickles as dimes. How many of each coin does he have in his piggy bank?
Thank you online tutor! This problem is for an algebra class and is not homework, but is practice and im really unsure how to solve this. Explanation on the solution is much appreciated!

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = number of pennies
Let +n+ = number of nickels
Let +d+ = number of dimes
Let +q+ = number of quarters
given:
(1) +p+%2B+5n+%2B+10d+%2B+25q+=+292+ ( in cents )
(2) +p+=+q+%2B+2+
(3) +d+=+q+%2B+3+
(4) +n+=+2d+
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Substitute (4) into (1)
(1) +p+%2B+5%2A%282d%29+%2B+10d+%2B+25q+=+292+
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Substitute (2) into (1)
(1) +q+%2B+2+%2B+10d+%2B+10d+%2B+25q+=+292+
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Substitute (3) into (1)
(1) +q+%2B+2+%2B+20%2A%28+q+%2B+3+%29+%2B+25q+=+292+
(1) +q+%2B+2+%2B+20q+%2B+60+%2B+25q+=+292+
(1) +46q+=+230+
(1) +q+=+5+
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You can continue. I have to run and can't finish.