SOLUTION: Kevin and Randy Muise have a jar containing 90 ​coins, all of which are either quarters or nickels. The total value of the coins in the jar is ​$13.70. How many of ea

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Question 1123114: Kevin and Randy Muise have a jar containing 90 ​coins, all of which are either quarters or nickels. The total value of the coins in the jar is ​$13.70. How many of each type of coin do they​ have?
The jar contains nothing quarters?
The jar contains nothing nickels?

Found 2 solutions by Boreal, josgarithmetic:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
If no quarters, then all are nickels, and it is 13.70/0.05=274 nickels
if no nickels, then all quarters and that is not possible with $13.70. There could be 54 quarters for $13.50 or 55 quarters for $13.75

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
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90 ​coins, all of which are either quarters or nickels. The total value of the coins in the jar is ​$13.70. How many of each type of coin do they​ have?
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q+n=90
n=90-q

25q%2B5%2890-q%29=1370
25q%2B450-5q=1370
20q=1370-450
20q=920
highlight%28q=46%29-------quarters

highlight%2844%29--------nickels

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check:
44%2A0.05%2B46%2A0.25
13.7