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Paul has 12 coins in his pocket, consisting entirely of dimes and quarters. If he has a total of 240 cents in coins, how many coins of each type are in his pocket?.

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mathstudent55

Answer:

4 dimes and 8 quarters

Step-by-step explanation:

Let d = number of dimes.

Let q = number of quarters.

d + q = 12

10d + 25q = 240

       -10d - 10q = -120

(+)     10d + 25q = 240

---------------------------------

                  15q = 120

q = 120/15

q = 8

d + q = 12

d + 8 = 12

d = 4

Answer: 4 dimes and 8 quarters

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