SOLUTION: An Internet service provider allows a certain number of free hours each month and then charges for each additional hour used. Wells, Ted, and Vino each have separate accounts. This
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Question 1189429: An Internet service provider allows a certain number of free hours each month and then charges for each additional hour used. Wells, Ted, and Vino each have separate accounts. This month the total hours used by Wells and Ted was 105, and each used all of their free hours. Their total cost was $10. Vino used 105 hours by himself and had to pay $26. What is the number of cents charged for each extra hour? Answer by ikleyn(52803) (Show Source):
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An Internet service provider allows a certain number of free hours each month
and then charges for each additional hour used. Wells, Ted, and Vino each have separate accounts.
This month the total hours used by Wells and Ted was 105, and each used all of their free hours.
Their total cost was $10. Vino used 105 hours by himself and had to pay $26.
What is the number of cents charged for each extra hour?
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Let x = the number of free hours for each separate individual account;
p = the price for each extra hour.
Then we have these two equations
(105-2x)*p = 10 dollars (1) (for Wells and Ted, together)
(105-x)*p = 26 dollars (2) (for Vino)
Divide equation (2) by equation (1) to get
= .
Cross multiply, simplify and find x
10*(105-x) = 26*(105-2x)
10*105 - 10x = 26*105 - 52x
52x - 10x = 26*105 - 10*105
42x = 16*105
x = = 40.
Now from equation (1)
(105-2*40)*p = 10
25p = 10
p = = = 40 cents per hour.
ANSWER. The price for each extra hour is 40 cents.
