SOLUTION: Lour has only quarters and dimes in his coin bank. There are currently 26 coins in the bank. If he adds 7 quarters and 3 dimes, the total value of the coins will be $7.35. Find the

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Question 347229: Lour has only quarters and dimes in his coin bank. There are currently 26 coins in the bank. If he adds 7 quarters and 3 dimes, the total value of the coins will be $7.35. Find the number of quarters and the number of dimes Lour originally had in the bank.
Answer by stanbon(75887) About Me  (Show Source):
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Lour has only quarters and dimes in his coin bank. There are currently 26 coins in the bank. If he adds 7 quarters and 3 dimes, the total value of the coins will be $7.35. Find the number of quarters and the number of dimes Lour originally had in the bank.
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Quantity: d + q = 26
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New quantity: (d+3)+(q+7) = 36
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Value Eq.::::10(d+3)+25(q+7) = 735 cents
10d + 25q = 735-30-175 = 530
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Solve this system:
d + q = 26
10d+25q = 530
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10d + 10q = 260
10d + 25q = 530
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15q = 270
q = 18 (original number of quarters)
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Since d+q = 26, d = 26-18 = 8 (original number of dimes)
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Cheers,
Stan H.
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