Question 1133586: Gavin has nickels dimes and quarters in the ratio of 8,1,2 if 30 Of Gavin’s coins are quarters how many nickels and dimes does Gavin have
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! the ratio of nickels to dimes to quarters is 8 to 1 to 2.
this means there are 8 nickels for every dime and 1 dime for every 2 quarters.
out of a total of 8 + 1 + 2 = 11 coins, 8 are nickels, 1 is a dime, and 2 are quarters.
30 of the coins are quarters.
since the ratio of dimes to quarters is 1 to 2, this means that are 15 dimes.
since the ratio of nickels to dimes is 8 to 1, this means there are 120 nickels.
gavin would have 120 nickels and 15 dimes and 30 quarters.
the total number of coins is 165.
divide that by 11 and you get 15 sets of 11 coins each.
each set of 11 coins contains 8 nickels and 1 dime and 2 quarters.
15 sets therefore contain 15 * (8 nickels and 1 dime and 2 quarters) for a total of 120 nickels and 15 dimes and 30 quarters.
your solution is that gavin has 120 nickels and 15 dimes.
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