To make lemonade, Kate uses 1 cup of lemon juice and 2 cups of sugar. If she makes a larger amount of lemonade with 10 cups of sugar, how many cups of lemon juice does she need?

For this problem, I will use diagram.

First if all, we know that Kate used 1 cup of lemon juice and 2 cups sugar, so we have this:

1 cup of lemon juice=2 cups sugar

Then, the problem asked to find how many cups of lemon juice does Kate needs with 10 cups of sugar, and now we have have the complete tree diagram

1 cup of lemon juice= 2 cups of sugar

?cups of lemon juice=10 cups of sugar

Step 1:

Use cross multiply

10×1=10

Step 2:

Use division

10÷2=5

As a result, Kate will need 5 cups of lemon juice with 10 cups sugar

But there is another way to find the answer, too. If you curious, here is the second way:

The ratio between cup of sugar/cup of lemon juice, so

2 cups of sugar/1 cup of lemon juice. In conclusion, Kate use double amount of sugar than lemon juice, so the question asked us to find how many cups of lemon juice does Kate needs with 10 cups sugar. To find the answer, take 10÷2=5 cups of lemon of juice is your final answer.

Step-by-step explanation:

Hope this helps! :P

step-by-step explanation: