Rachel will make juice drink by mixing sugar, pineapple juice, and water in the ratio of 2:5:7 cups. If she uses 20 cups of pineapple juice, she has to mix ____ cups of sugar and ____ cups of water to the juice

multiply all the values by 4, so you have

8:20:28

Now you can see the quantities that go with 20 cups of pineapple juice.

8, 20

To find the number of cups of sugar and water Rachel needs to mix with 20 cups of pineapple juice, we first need to determine the ratio they are mixed in.

The given ratio is 2:5:7 cups, which means for every 2 cups of sugar, there are 5 cups of pineapple juice and 7 cups of water.

Since Rachel is using 20 cups of pineapple juice, we need to find the corresponding amount of sugar and water.

To do this, we can set up a proportion using the ratio 5 cups of pineapple juice to 2 cups of sugar:
5 cups of pineapple juice / 2 cups of sugar = 20 cups of pineapple juice / x cups of sugar

Cross-multiplying the proportions, we get:
5 * x cups of sugar = 2 * 20 cups of pineapple juice
5x = 2 * 20
5x = 40

Dividing both sides by 5, we get:
x = 40 / 5
x = 8

So Rachel needs to mix 8 cups of sugar with 20 cups of pineapple juice.

To find the amount of water, we can set up another proportion using the ratio 7 cups of water to 5 cups of pineapple juice:
7 cups of water / 5 cups of pineapple juice = y cups of water / 20 cups of pineapple juice

Cross-multiplying the proportions, we get:
7 * 20 cups of pineapple juice = 5 * y cups of water
140 = 5y

Dividing both sides by 5, we get:
y = 140 / 5
y = 28

So Rachel needs to mix 8 cups of sugar and 28 cups of water with 20 cups of pineapple juice.