Question 551039: if the number of dimes are 4 less than 5 times the quarter find how many of each type does he have
and the total is $1.85 Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! d = number of dimes
10d = value of dimes in cents
q = number of quarters
25q = value of quarters in cents
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The number of dimes is 4 less than 5 times the number of quarters.
d = 5*q -4
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10d + 25q = 185 cents
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Substitute
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10*(5q-4) + 25q = 185
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50q -40 +25q = 185
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75q = 225
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q = 3
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d = 5*3-4 = 11
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Check the values.
25*3 = 75 cents
11*10 = 110 cents
75+110 = 185 cents
Correct.
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Answer: 3 quarters and 11 dimes.
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Done.
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