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,
[tex]1\text{ mile}=\dfrac{2}{3}\text{ cup}[/tex]
Multiply both sides by 3.
[tex]3\text{ miles}=2\text{ cups}[/tex]
Divide both sides by 2.
[tex]\dfrac{3}{2}\text{ miles}=1\text{ cup}[/tex]
It means, she need 1 cup water for every 3/2 miles.
Multiply both sides by 4.
[tex]\dfrac{3}{2}\times 4\text{ miles}=1\times 4\text{ cups}[/tex]
[tex]6\text{ miles}=4 \text{ cups}[/tex]
Therefore, she can hike 6 miles before her water runs out.
