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

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Answer:

[tex]\large \boxed{\text{67 scoops}}[/tex]

Step-by-step 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

[tex]V =  \text{4.5 ft}^{3} \times\dfrac{\text{7.48 gal}}{\text{1 ft}^{3}} = \text{33.7 gal}[/tex]

3. Calculate the scoops of drink mix

You need 2 scoops for each gallon.

[tex]\text{Scoops} =  \text{33.7 gal} \times\dfrac{\text{2 scoops}}{\text{1 gal}} = \text{67 scoops}\\\\\text{You need $\large \boxed{\textbf{67 scoops}}$ of drink mix}[/tex]