SOLUTION: After collecting coins for her student work project, Margo has counted the coins and reports that there are pennies, dimes, and quarters in the bag. She indicates that there are t

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Question 1156993: After collecting coins for her student work project, Margo has counted the coins and reports that there are pennies, dimes, and quarters in the bag. She indicates that there are twice as many dimes as pennies, and there are 13 more quarters than dimes. If the total of the coins is $31.65, how many of each coin are in the bag?
Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
# of pennies = p
# of dimes = 2p
# of quarters = 2p + 13

p + 10(2p) + 25(2p + 13) = 3165

p + 20p + 50p + 325 = 3165

71p + 325 = 3165

71p = 2840

p = 40

# of pennies = p = 40
# of dimes = 2p = 80
# of quarters = 2p + 13 = 93

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Check it:

40 pennies = $0.40
80 dimes = $8.00
93 quarters = $23.25

$0.40 + $8.00 + $23.25 = $31.65