Question 1162726
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An quick and easy informal solution, if formal algebra is not required....<br>
(1) Imagine 46 dimes; the value of the 46 coins would be $4.60.  The actual value is $8.50, which is $3.90 more than $4.60.
(2) Now exchange a dime for a quarter.  There are still 46 coins, but the total value has increased by (25-10) = 15 cents.
(3) The number of times you need to do that to make up the additional $3.90 (390 cents) is 390/15 = 26.<br>
ANSWER: 26 quarters and 46-26=20 dimes.<br>
CHECK: 26($0.25)+20($0.10) = $6.50+$2.00 = $8.50<br>