Question

To mix his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix.

Twenty-two people are running in tomorrow's
Road race and Jerome thinks they will each want two cups of energy drink.
B) how much water and how much drink mix should Jerome use to make enough energy drink for all the runners?

Answer 1

Answer: He needs 32 cups of water and 12 cups of drink mix.

Step-by-step explanation: 8 cups + 3 cups = 11 cups

So we know that 8 cups of water + 3 cups of drink mix = 11 cups of 'special energy drink'. Now, Jerome assumes that each person wants 2 cups so we perform the following equation: 22 people x 2 cups = 44 cups. We know that 8 cups of water and 3 cups of drink mix is equal to 11 cups so we just divide: 44 cups/11 cups = 4. Now we need to multiply 8 and 3 by 4 because he needs 4 x 11 cups, that is why we need to multiply

each of the numbers that make up 11 by 4. 8 cups x 4 = 32 cups,

3 cups x 4 = 12 cups

Answer 2

• 32 cups water
• 12 cups drink mix

Explanation:

You want to know how much water and drink mix are needed in order to provide 2 cups of energy drink for each of 22 runners. The drink is made from 8 cups of water and 3 cups of drink mix.

Recipe

Jerome's recipe makes a total of 8 cups + 3 cups = 11 cups of energy drink.

Needed

For 22 people, the amount needed to supply each person with 2 cups is ...

(22)(2 cups) = 44 cups

The number of times the recipe must be multiplied to get this amount is ...

(44 cups)/(11 cups/recipe) = 4 recipes

Enough

Enough energy drink can be made from ...

4×8 = 32 cups water

4×3 = 12 cups drink mix

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Additional comment

You can skip the part where you figure how many recipes are needed by looking at the fraction each ingredient is of the total. One recipe is 8/11 water and 3/11 drink mix, so the final quantities will be ...

{8/11, 3/11}×44 cups = {32 cups, 12 cups}

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