Three friends are driving to New York City and splitting the gas cost equally. At the last minute, 2 more friends joined the trip. The cost of gas was then evenly redistributed among all of the friends. The cost for each of the original 3 decreased by $11.00. What was the total cost of the gas, in dollars?

Question

Mathematics

Ellory

28 May, 01:53

Three friends are driving to New York City and splitting the gas cost equally. At the last minute, 2 more friends joined the trip. The cost of gas was then evenly redistributed among all of the friends. The cost for each of the original 3 decreased by $11.00. What was the total cost of the gas, in dollars?

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Deborah Harmon · Answer 1

Let x = the total cost of gas, dollars.

Originally, each of the three friends was to pay x/3 dollars each.

Finally, with two more friends added, the cost became x/5 dollars each.

The savings for each of the original three friends is $11, therefore

x/3 - x/5 = 11

(2x) / 15 = 11

x = (11*15) / 2 = $82.50

Answer: The total cost of gas is $82.50