If the price of gasoline increases by 20% and a driver intends to spend only 14% more on gasoline, ...

If the price of gasoline increases by 20% and a driver intends to spend only 14% more on gasoline, by how much percent should the driver reduce the quantity of gasoline that he buys?

Answer/Solution

Steps/Work

Let x be the amount of gasoline the driver buys originally.
Let y be the new amount of gasoline the driver should buy.
Let P be the original price per liter.
(1.2*P)y = 1.14(P*x)
y = (1.14/1.2)x = 0.95x which is a reduction of 5%.
The answer is D.

General Calculator / Auto Solver

If the price of gasoline increases by % and a driver intends to spend only % more on gasoline, by how much percent should the driver reduce the quantity of gasoline that he buys?

Calculated Answer

Step by Step Solution

In order to solve problem, you must evaluate (n₀ + 100 - (n₁ + 100)) / (n₀ + 100) * 100.

n₀ =	20
n₁ =	14

(n₀ + 100 - (n₁ + 100)) / (n₀ + 100) * 100
Evaluate n₀ + 100 = 120
(120 - (n₁ + 100)) / (n₀ + 100) * 100
Evaluate n₁ + 100 = 114
(120 - 114) / (n₀ + 100) * 100
Evaluate 120 - 114 = 6
6 / (n₀ + 100) * 100
Evaluate n₀ + 100 = 120
6 / 120 * 100
Evaluate 6 / 120 = 0.05
0.05 * 100
Evaluate 0.05 * 100 = 5
5
The answer to the problem and the result of (n₀ + 100 - (n₁ + 100)) / (n₀ + 100) * 100 is 5

Quiz

Answer/Solution

Steps/Work

General Calculator / Auto Solver

Calculated Answer

Step by Step Solution