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 ma

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Question 5024: 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 Earlsdon(6294) (Show Source):
You can put this solution on YOUR website!
Let D = # of dimes ($0.10)
Let N = # of nickels ($0.05)
There are 5 time as many dimes as nickels, so: D = 5N Substitute this into the eqation below.
The total value of the coins is, so: ($0.10)D + ($0.05)N = $4.40
Now you have two equations and two unknowns. You can solve the problem.
($0.10)(5N) + ($0.05)N = $4.40 Simplify.
($0.50)N + ($0.05)N = $4.40
($0.55)N = $4.40 Divide both sides by ($0.55)
N = 8 There are 8 nickels.
D = 5N
D = 5(8)
D = 40 There are 40 dimes.
Check:
($0.05)(8) + $).10)(40) = $0.40 + $4.00 = $4.40