A small, test batch of lemonade used 1/4 cup of sugar added to 1 cup of water and 1/4 cup of lemon juice. After confirming it tasted good, a larger batch is going to be made with the same ratios using 10 cups of water. How much sugar should be added so that the large batch tastes the same as the test batch?

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naomi479xx naomi479xx · Answer 1 · 2018-11-20T14:55:51+01:00

Hi there!

In order to answer your question, you'll need to use the cross product method:

1 cup water → 1/4 cup sugar

10 cups water → X cup sugar

((1/4) × 10) ÷ 1 = X cups sugar

2.5 ÷ 1 = X cups sugar

2.5 = X cups sugar

Your answer is : Using 10 cups of water, you should add 2 and a half cups of sugar so that the large batch tastes the same as the test batch.

There you go! I really hope this helped, if there's anything just let me know! :)

adioabiola adioabiola · Answer 2 · 2021-11-05T13:10:38+01:00

The quantity of sugar that should be added so that the large batch tastes the same as the test batch is 2 1/2 cups

Test batch of lemonade:

Sugar = 1/4 cup

Water = 1 cup

lemon juice = 1/4 cup

Larger batch of lemonade:

Water = 10 cups

Sugar = x cups

Ratio of sugar to water

1/4 : 1 = x : 10

1/4 ÷ 1 = x / 10

1/4 × 1/1 = x / 10

1/4 = x /10

cross product

1 × 10 = 4 × x

10 = 4x

x = 10/4

x = 2 2/4

x = 2 1/2 cups

Therefore, the quantity of sugar that should be added so that the large batch tastes the same as the test batch is 2 1/2 cups