Middle School

Taylor is mixing fruit punch. The recipe calls for 2 teaspoons of sugar for each 8 oz glass of punch. Taylor has a 3-gallon punch bowl. How many cups of sugar are needed to fill the bowl with punch?

Answer :

I would put it like this .


Let x be punch bowl

Ratio: (Sugar/glass)

(3) * (2/8) = x

6/8 = x

0.75= x

So you will need 3/4 cups of sugar



Or if easier for you cross multiply the set up same ratio so would look like .


2/8=x/3. Now do cross multiply


2×3=8×x


6=8x


Now divide


6/8=x


You will get 0.75 which is 3/4 cups






Final answer:

To fill the 3-gallon punch bowl, you will need 12 tsp of sugar.

Explanation:

To find the number of cups of sugar needed to fill the 3-gallon punch bowl, you first need to convert the gallons to cups. Since there are 16 cups in 1 gallon, the punch bowl contains 3 x 16 = 48 cups. Then, divide the number of cups by the number of 8oz glasses the recipe calls for. 48 cups / 8 cups per glass = 6 glasses. Finally, multiply the number of glasses by the amount of sugar needed per glass. 6 glasses x 2 tsp of sugar = 12 tsp of sugar. Therefore, 12 tsp of sugar are needed to fill the 3-gallon punch bowl.

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