+4609 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?
+36916 Let 'x' = original cost to EACH of the three for gas....
then 3x = total gas cost
then two more join and the EACH COST goes down 11.00
so x-11 is the new EACH COST
there are now 5 of them
5(x-11) = total cost = 3x
5(x-11) = 3x
5x - 55 = 3x
2x = 55
x = 27.50 original cost of gas for 3 total cost = 3 (27.50) = 82.50
WHen there are 5 the EACH COST is 82.50/5 = 16.50 which IS 11.00 than the original cost each.
