SOLUTION: A vending machine takes only nickels and dimes. There are 5 times as many dimes as nickels in the machine. The face value of the coins is $4.40. How many of each coin are in the m

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: A vending machine takes only nickels and dimes. There are 5 times as many dimes as nickels in the machine. The face value of the coins is $4.40. How many of each coin are in the m      Log On


   



Question 647828: A vending machine takes only nickels and dimes. There are 5 times as many dimes as nickels in the
machine. The face value of the coins is $4.40. How many of each coin are in the machine.

Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
DIMES=5X
NICKELS=X
5X(.10)+X*.05=4.40
.5X+.05X=4.40
.55X=4.40
X=4.40/.55
X=8 NICKELS
5*8=40 DIMES.
PROOF:
5*8(.10)+.05*8=4.40
40*.10+.04=4.40
4.00+.40=4.40
4.40=4.40