SOLUTION: A bank contains 36 nickels, dimes, and quarters. There are 4 more dimes than quarters and twice as many nickels as quarters. How many of each coin are in the bank? ***please write
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Question 997599: A bank contains 36 nickels, dimes, and quarters. There are 4 more dimes than quarters and twice as many nickels as quarters. How many of each coin are in the bank? ***please write the equation to this and solve for how many coins***
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of nickels
Let = number of dimes
Let = number of quarters
---------------------------
(1)
(2)
(3)
-------------------
There are 3 unknowns and 3 equations,
so it is solvable
-------------------
Substitute (2) and (3) into (1)
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
and
(3)
(3)
(3)
---------------
There are 16 nickels, 12 dimes, and 8 quarters
check:
(1)
(1)
(1)
OK
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