SOLUTION: A coin bank contains 22 coins in nickels,dimes, and quarters. There are 4 times as many dimes as quarters. The value of the coins is $2.30. How many dimes are in the bank?
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Question 647596: A coin bank contains 22 coins in nickels,dimes, and quarters. There are 4 times as many dimes as quarters. The value of the coins is $2.30. How many dimes are in the bank?
I need the equations to help me better understand how to get the answer. 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
given:
(1)
(2)
(3) ( in cents )
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There are 3 unknowns and 3 equations, so it's solvable
substitute (2) into (1)
(1)
(1)
(1)
Now substitute this result and (2) into (3)
(3)
(3)
(3)
(3)
(3)
and, since
(2)
(2)
(2)
and
(1)
(1)
(1)
(1)
(1)
There are 12 dimes in the bank
check:
(3)
(3)
(3)
(3)
(3)
OK
