Question

3 jugs of water is added to 2 cups of lemon to make egyptian lemonade. The ancient ritual requires 15 jugs of water to make the egyptianlemonade. How many cups of lemon is needed?

Answer 1

10 cups

Step-by-step explanation

3 jugs of water is added to make 2 cups of lemon to make Egyptian lemonade.

This means we can write the ratio of jugs of water to cups of lemon as:

3 : 2

15 jugs of water are to be used. Let the cups of lemonade be x.

we have that the ratio is:

15 : x

Since both ratios must be equal, we have:

3 : 2 = 15 : x

We can rewrite that as:

`\begin{gathered} (3)/(2)\text{ = }(15)/(x) \\ \text{Cross}-mu\text{ltiply:} \\ 3\cdot\text{ x = 15 }\cdot\text{ 2} \\ 3x\text{ = 30} \\ \text{Divide through by 3:} \\ x\text{ = }(30)/(3) \\ \text{x = 10 cups} \end{gathered}`

10 cups of lemon are needed.