Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Ronald is preparing lemonade for his friends. To make 6 cups of lemonade, he needs 1 cup of lemon juice. To make 24 cups of lemonade, he needs to proportionally increase the amount of lemon juice to cups.

Answer 1

He will need 4 cups juice

Explanation:

We can use proportions to solve this problem.

cups of lemonade on top, lemon juice on the bottom

6 cups lemonade 24 cups lemonade

------------------------ = --------------------------

1 cup juice x cups juice

Using cross products

6x = 24

Divide by 6 on each side

6x/6 = 24/6

x = 4

He will need 4 cups juice

Answer 2

4 cups

Explanation:

Given the proportion

6 cups lemonade : 1 cup lemon juice

you can multiply each number by 4 to see the required amount of lemon juice:

24 cups lemonade : 4 cups lemon juice

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You know this because you know that 24 is 4 times 6.

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As an equation

You can let J stand for the number of cups of lemon juice required, and you can write the proportional relationship as ...

(J cups of juice)/(24 cups of lemonade) = (1 cup of juice)/(6 cups of lemonade)

Multiplying by (24 cups of lemonade) gives ...

(J cups of juice) = (1 cup of juice)·(24/6) = 4 cups of juice