Question

For a given recipe, 2 cups of flour are mixed with 24 cups of sugar. How many cups of flour should be used if 168 cups of sugar are used?

Answer 1

14 cups of flour

Explanation:

If 2 cups of flour are mixed with 24 cups of sugar, the ratio of flour to sugar is 2:24 or 1:12.To find how many cups of flour should be used if 168 cups of sugar are used, we can set up a proportion:1/12 = x/168

where x is the number of cups of flour.

To solve for x, we can cross-multiply

:1 * 168 = 12 * x168 = 12x

Dividing both sides by 12, we get:x = 168/12x = 14

Therefore, if 168 cups of sugar are used, 14 cups of flour should be used.

Answer 2

20 cups of flour should be used if 80 cups of sugar are used.

Explanation:

In the recipe, for every 6 cups of flour, there are 24 cups of sugar. Thus, the ratio of flour to sugar is 6:24, which could be simplified to 1:4.

80 cups of sugar will be used in the given scenario. 80 cups is 20 times more than the number of cups in the ratio. Thus, if you multiply each side of the ratio by 20, you would get the number of each ingredient in a certain proportion.

1:4

1 x 20:4 x 20

20:80

20 cups of flour should be used if 80 cups of sugar are used.