SOLUTION: jack has 60 coins consisting of nickels, dimes and quarters. He has 3 times as many dimes as nickels. Of the coins are worth a total of $8.50, write a system of equations to determ

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Question 1100035: jack has 60 coins consisting of nickels, dimes and quarters. He has 3 times as many dimes as nickels. Of the coins are worth a total of $8.50, write a system of equations to determine how many of each coin jack has.
Thank you for your help Andy I am sorry for the disturbance
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
VARIABLES
n nickels
d dimes
q quarters

MAKE EQUATIONS ACCORDING TO DESCRIPTION
-
n%2Bd%2Bq=60
-
d%2Fn=3
-
5n%2B10d%2B25q=850


SIMPLIFY SYSTEM OF EQUATIONS

system%28n%2Bd%2Bq=60%2Cd=3n%2Cn%2B2d%2B5q=170%29


Solve the system any way you want.



---
substitutingford:system%28n%2B3n%2Bq=60%2Cn%2B6n%2B5q=170%29

system%284n%2Bq=60%2C7n%2B5q=170%29
7n%2B5%2860-4n%29=170
7n%2B300-20n=170
-13n=170-300
13n=300-170
13n=130
highlight%28n=10%29-------ten nickels
highlight%28d=30%29------thirty dimes
highlight%28q=20%29------twenty quarters