SOLUTION: Systems: The coin box of a vending machine contains half as many quarters as dimes. If the total value of the coins is $22.50, how many dimes are there? i tried many times to

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Question 23414: Systems:
The coin box of a vending machine contains half as many quarters as dimes. If the total value of the coins is $22.50, how many dimes are there?
i tried many times to do this using systems my main equatoins are .25q+.10d=22.50 and q=2d, but im stuck i dont know what to do next.

thank you for your help :)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let number of dimes be "2x"
Then number of quarters is "x"
Value of dimes is (10)2x=20x cents
Value of quarters is (25)x = 25x cents
EQUATION:
Value of dimes + Value of quarters = 2250 cents
20x + 25x = 2250
45x = 2250
x = 50 (number of quarters)
2x = 100 (number of dimes)
Cheers,
Stan H.