Question 1107880: Ed has $5.50 in dimes and quarters. He has 8 more quartes than dimes. How mamy of each coin does he have? Answer by ikleyn(52926) (Show Source):
8 quarters make exactly 2 dollars.
Take off 8 quarters from your collection.
Then rest of coins in the collection are equal amounts of quarters and dimes, and the updated collection is worth $3.50 = 350 cents.
Group them in pairs, one dime and one quarter in each pair. Then each pair is worth 10 + 25 = 35 cents.
Hence, he number of the pairs is 10.
Hence, there are 10 quarters and 10 dimes in the updated collection.
Now return back those 8 quarters, you took away in the beginning.
Answer. There are 10 dimes and 18 quarter in the original collection.
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