Question

Sports drink for campers. The container sides measures 1 foot by 1.5 feet by 3 feet. After filling the container with water you must add two scoops of drink mix for each gallon water. How many scoops of drink mix are needed to make a full batch

Answer 1

`\large \boxed{\text{67 scoops}}`

Explanation:

1. Calculate the volume of the container

V = lwh = 3 ft × 1.5 ft × 1 ft = 4.5 ft³

2. Convert cubic feet to gallons

There are 7.48 gal in 1 ft³

`V =  \text{4.5 ft}^(3) *\frac{\text{7.48 gal}}{\text{1 ft}^(3)} = \text{33.7 gal}`

3. Calculate the scoops of drink mix

You need 2 scoops for each gallon.

`\text{Scoops} =  \text{33.7 gal} *\frac{\text{2 scoops}}{\text{1 gal}} = \text{67 scoops}\\\\\text{You need $\large \boxed{\textbf{67 scoops}}$ of drink mix}`