SOLUTION: A child is collecting state quarters and new $1 coins. If she has a total of 24 coins, and the number of quarters is 8 more than the number of dollar coins, how many of each type o
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Question 1126706: A child is collecting state quarters and new $1 coins. If she has a total of 24 coins, and the number of quarters is 8 more than the number of dollar coins, how many of each type of coin does she have? Answer by ikleyn(52884) (Show Source):
Put these extra 8 quarters aside for a minute.
Then you will have 24-8 = 16 coins in all, with the equal number of quarters and $1 coins.
You can group these 16 coins in sets containing one quarter and $1 coin in each group.
You will have exactly 8 = such groups.
Hence, there are 8 $1 coins and 8+8 = 16 quarters in the original collection.
