SOLUTION: A collecton of 197 coins consists of nickels, dimes, and quarters. The number if dimes is 2 more than one-third the number of nickels, and the number of quarters is three times the
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Question 157310: A collecton of 197 coins consists of nickels, dimes, and quarters. The number if dimes is 2 more than one-third the number of nickels, and the number of quarters is three times the number of dimes. How many dimes are there?
I did some work but I cant figure it out
D+N+Q=197
D=1/3N+2
Q=3D
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
(2)
(3)
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(1) and (3) substitution
(4)
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(2)
substitute this in (4)
There are 29 dimes
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check:
(3)
---------------
OK
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