SOLUTION: Ben has a collection of quarters and nickles worth $5.35. If the number of nickles is five less than twice the number of quarters, find the number of each coin.

Algebra.Com
Question 1048902: Ben has a collection of quarters and nickles worth $5.35. If the number of nickles is five less than twice the number of quarters, find the number of each coin.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Ben has a collection of quarters and nickles worth $5.35. If the number of nickles is five less than twice the number of quarters, find the number of each coin.
------------------
25q + 5n = 535 cents
n = 2q - 5
----------------------
Substitute::
25q + 5(2q-5) = 535
25q + 10q - 25 = 535
35q = 560
q = 16 (# of quarters)
---------------
n = 2q - 5
n = 32-5
n = 27 (# of nickels)
--------------
Cheers,
Stan H.
--------------

RELATED QUESTIONS

Kent has a collection of pennies and nickles with a value of $1.98. The number of pennies (answered by Alan3354)
a collection of nickles and dimes is worth $2.90. The number of dimes is one less than... (answered by tpender)
A kid has dimes and nickles in a bag, if the number of nickles is 5 more than twice the # (answered by jorel1380)
Louise has a collection of nickles, dimes, and quarters worth $24.75. The number of dimes (answered by mananth)
a collection of nickles and quarters contains 25 coins. if there are 3 more nickles than... (answered by TimothyLamb)
Victoria has 88 coins consisting of nickels, dimes, and quarters. The number of dimes is (answered by Paul)
if a child's has $8.56 in pennies and nickles if the number of pennies is 18 less than 14 (answered by ankor@dixie-net.com)
Cheyenne has a collection of coins that consists of nickles and quarters. The value of... (answered by TimothyLamb)
A coin collection consists of 14 coins with a total value of $1.35. The coins are... (answered by rwm)