Question

A. Complete the ratio table.

Sugar (cups) 7 14
Milk (cups) 6
You need
18
b. You have a recipe that indicates to use 7
parts of sugar for every 6 parts of milk. You
use 28 cups of sugar. How much milk do you
need?
cups of milk.
28

I

Answer 1

The ratio of sugar to milk is 7:6. For 18 cups of milk, you need 21 cups of sugar to maintain the ratio. If you use 28 cups of sugar, you would need 24 cups of milk.

Step-by-step explanation:

To complete the ratio table for sugar and milk, we observe that the recipe indicates a ratio of sugar to milk as 7:6. If we have 7 cups of sugar paired with 6 cups of milk, and 14 cups of sugar would be paired with 12 cups of milk (because 7x2 = 14 and 6x2 = 12).

For 18 cups of milk, we would set up a proportion because the ratio remains constant.

Assume the unknown amount of sugar needed for 18 cups of milk is 'x' cups of sugar, then the proportion is 7/6 = x/18. Solving for 'x' gives us x = (7/6)*18 = 21.

Therefore, to maintain the ratio, you would need 21 cups of sugar for 18 cups of milk.

For part b, using the recipe ratio of 7 parts of sugar to 6 parts of milk, when you use 28 cups of sugar, we can determine the necessary quantity of milk.

Since we are doubling the initial sugar amount from 7 to 28 (28 is 4 times 7), we must also quadruple the amount of milk to maintain the ratio.

Therefore, 6 cups of milk needed for the original 7 cups of sugar are multiplied by 4 to equal 24 cups of milk for 28 cups of sugar.