SOLUTION: A reduction in the price of petrol by 10% enables a motorist to buy 5 gallons more for$180. Find the original price of petrol. 4$ per gallon 5$ per gallon 7$ per gallon 8$

Question 1206727: A reduction in the price of petrol by 10% enables a motorist to buy 5 gallons more for$180. Find the original price of petrol.

4$ per gallon
5$ per gallon
7$ per gallon
8$ per gallon
Found 3 solutions by MathLover1, josgarithmetic, greenestamps:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

let's the original price of petrol be and the the number of gallons purchased be
if he paid full price, the number of gallons would be ...eq.1
if the price is reduced %, the new price of petrol becomes , and the new number of gallons purchased becomes

so, with reduced price we have:
...substitute

answer:
the original price of petrol is $ per gallon

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!

PRICE QUANTITY gallons COST dollars p 180/p 180 0.9p 180/(0.9p) 180 difference 5

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

A very different solution method than shown by the other tutors....

Let x be the number of gallons he can buy at the regular price; then x+5 is the number of gallons he can buy at the reduced price.

The cost of (x+5) gallons at 90% of the original price is equal to the cost of x gallons at the original price:

For $180, he could buy 45 gallons. The original price per gallon was $180/45 = $4.

ANSWER: $4

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