Question 44217: My friend has to pay tolls on a 200 mile round trip.He has $5.50 in nickels, dims, and quarters. He has twice as many quarters as nickels, and two fewer than four times the number of dimes as nickels. How many dimes does he have?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! He has $5.50 in nickels, dims, and quarters. He has twice as many quarters as nickels, and two fewer than four times the number of dimes as nickels. How many dimes does he have?
Let number of dimes be x
Then 4x-2 is number of nickels
And number of quarters is 8x-4
Value of dimes is 10x cents
Value of nickels is 5(4x-2)=20x-10 cents
Value of quarters is 25(8x-4)=200x-100 cents
EQUATION:
value + value + value = 550 cents
10x + 20x-10+200x-100=550
230x-110=550
230x=660
x=?
This does not work out to be a whole number.
Either your statement of the problem is wrong or
my reading of your statement is wrong.
Cheers,
Stan H.
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