Question 531054: A chlds bank contains $6.30 in dimes and quarters. There are twice as many dimes as quarters. How many of each kind of coin are in the bank? Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! With coin problems you need to keep track of the count of the coins and the value.
d = number of dimes
10d = value of the dimes in cents
q = number of quarters
25q = value of the quarters in cents
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10d + 25q = 630 cents
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d = 2q
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substitute
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10(2q) + 25q = 630
20q + 25q = 630
45q = 630
q = 14
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d = 2q
d = 2*14 = 28
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Check the values to be sure this answer is right.
25(14) = 350 cents
10(28) = 280 cents
total = 630 cents
Correct.
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Answer: The child has 14 quarters and 28 dimes.
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Done.
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