Question

Emma drinks 2/3 cups of water for every mile she hikes. Her water bottle holds 4 cups of water. How many miles can she hike before her water runs out?

Answer 1

Given that:

Emma drinks 2/3 cups of water for every mile she hikes.

Capacity of water bottle = 4 cups

To find:

The number of miles she can hike before her water runs out.

Solution:

According to the given information,

`1\text{ mile}=(2)/(3)\text{ cup}`

Multiply both sides by 3.

`3\text{ miles}=2\text{ cups}`

Divide both sides by 2.

`(3)/(2)\text{ miles}=1\text{ cup}`

It means, she need 1 cup water for every 3/2 miles.

Multiply both sides by 4.

`(3)/(2)* 4\text{ miles}=1* 4\text{ cups}`

`6\text{ miles}=4 \text{ cups}`

Therefore, she can hike 6 miles before her water runs out.