SOLUTION: In a piggy bank,there are 24 more dimes than quarters. The value of the dimes equals the value of the quarters. How many quarters are in the piggy bank?
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Question 1067703: In a piggy bank,there are 24 more dimes than quarters. The value of the dimes equals the value of the quarters. How many quarters are in the piggy bank? Answer by ikleyn(52810) (Show Source):
The condition gives you these two equations:
d - q = 24, (1)
10d = 25q (2)
Cancel equation (2) by the factor 5 (both sides. You will get
2d = 5q (3)
instead of (2).
Now express d = 24 + q from (1) and substitute it into (3), replacing d. You will get
2(24+q) = 5q ---> 48 + 2q = 5q ---> 3q = 48 ---> q = = 16.
Answer. 16 quarters and 16 + 24 = 40 dimes.
