SOLUTION: do you know what the answer to this problem is ? The coin box of a vending machine contains 6 times as many quarters as dimes. If the total amount of money in quarters and dimes is

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Question 71487This question is from textbook
: do you know what the answer to this problem is ? The coin box of a vending machine contains 6 times as many quarters as dimes. If the total amount of money in quarters and dimes is $28.80, how many quarters and how many dimes are in the box? This question is from textbook

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The coin box of a vending machine contains 6 times as many quarters as dimes. If the total amount of money in quarters and dimes is $28.80, how many quarters and how many dimes are in the box?
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Let the number of dimes be "x"; Value of these is 10x cents
The number of quarters is "6x"; Value of these is 25(6x)=150x cents
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EQUATION:
10x + 150x = 2880 cents
160x = 2880
x= 18 (the number of dimes)
6x= 108 (the number of quarters)
Cheers,
Stan H.