SOLUTION: Maria has a total of 97 dimes and quarters in her piggybank. if maria has $17.80 in coins, how many dimes and quarters does she have in her piggybank? use algebraic modelling to di

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Question 1015292: Maria has a total of 97 dimes and quarters in her piggybank. if maria has $17.80 in coins, how many dimes and quarters does she have in her piggybank? use algebraic modelling to dive this problem
Found 2 solutions by Alan3354, FrankM:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Maria has a total of 97 dimes and quarters in her piggybank. if maria has $17.80 in coins, how many dimes and quarters does she have in her piggybank?
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d + q = 97 (# of coins)
10d + 25q = 1780 (total value)

Answer by FrankM(1040)   (Show Source): You can put this solution on YOUR website!
10D+25Q=1780 (D is the number of dimes, 10D is the value of D dimes)
D+Q=97 (total coins are 97)
10D+10Q=970 (multiplied the second equation by ten)
15Q=810 (sutract eq3 from eq1)
Q=54, D=43

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