Question

Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers (k) she can drive with 12 liters of fuel. She assumes the relationship between kilometers and fuel is proportional.

How many kilometers can Pamela drive with 12 liters of fuel?

Answer 1

132 kilometers

Explanation:

Given: Pamela drove her car 99 kilometers and used 9 liters of fuel.

To find: Number of kilometers Pamela drove in 12 liters of fuel.

Solution:

It is given that Pamela drove her car 99 kilometers and used 9 liters of fuel. Also the relationship between kilometers and fuel is proportional.

So, let us assume that she can travel x kilometers in 12 liters of fuel.

By proportionality we have,

`99:9 :: x:12`

`(99)/(9) =(x)/(12)`

`11=(x)/(12)`

`x=12*11`

`x=132`

Hence, she can travel 132 kilometers in 12 liters of petrol.

Answer 2

132 km on 12 liters.

Explanation:

Just set up the proportion.

99 km : 9 liters :: x : 12 liters. Change this to an equation.

99/ 9 = x/12 Divide the left

11 = x / 12 Multiply both sides by 12

11 * 12 = x/12 *12 Combine the left and cancel the right.

132 = x

She can drive 132 km on 12 liters.