A machine that fills a 3/4 cup tub of yogurt can fill 1600 tubs per hour. Using the conversions that are listed put the following steps in order that would explain how to find how many gallons of yogurt that would be needed to fill 1600 tubs

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First, let's find how many cups of yogurt the machine fills per hour.

[tex] \dfrac{\frac{3}{4}\, cup}{1 \,tub} \cdot 1600 \,tubs = 1200\, cups [/tex]


Now, we can use our cups-to-gallons conversion to find how many gallons this would be:

[tex] 1200 \,cups \, \cdot \dfrac{1 \,gallon}{16\, cups} = 75 \,gallons [/tex]


Our answer is 75 gallons.