a recipe that makes 16 cookies call for 1/4 cup of sugar and 2/3 cup of flour. Janelle wants to proportionally increase these almost to get a new recipe using one cup of sugar. using the new recipe how much flour should she use?

Question

a recipe that makes 16 cookies call for 1/4 cup of sugar and 2/3 cup of flour. Janelle wants to proportionally increase these almost to get a new recipe using one cup of sugar. using the new recipe how much flour should she use?

Answer 1

To proportionally increase the recipe, we can find the ratio of sugar to flour in the original recipe and then use that ratio to calculate the amount of flour needed for the new recipe.

In the original recipe:
Sugar = 1/4 cup
Flour = 2/3 cup

To find the ratio of sugar to flour:
Ratio = Sugar / Flour = (1/4) / (2/3) = (1/4) * (3/2) = 3/8

Now, we have the ratio of sugar to flour in the original recipe. To determine how much flour should be used in the new recipe that calls for one cup of sugar, we can multiply the ratio by the amount of sugar in the new recipe.

New Sugar = 1 cup = 16/16 cups (since 1 cup is equivalent to 16/16 cups)

Using the ratio:

New Flour = New Sugar * Ratio = (16/16) * (3/8) = 48/128 = 3/8

Therefore, Janelle should use 3/8 cup of flour in the new recipe.

Answer 2

To find out how much flour Janelle should use in the new recipe that uses one cup of sugar, we can use proportions.

First, let's determine the ratio of sugar to flour in the original recipe. The original recipe calls for 1/4 cup of sugar and 2/3 cup of flour. So the ratio of sugar to flour is 1/4 : 2/3.

Now, let's set up a proportion using this ratio. We can write it as:

1/4 cup of sugar : 2/3 cup of flour = 1 cup of sugar : x (unknown amount of flour)

To solve for x, we can cross-multiply and then divide:

(1/4) / (2/3) = (1) / (x)

Simplifying the left side:

(1/4) * (3/2) = (1) / (x)

3/8 = 1/x

Now, to solve for x, we can take the reciprocal of both sides:

8/3 = x

So, Janelle should use 8/3 cups of flour in the new recipe that uses one cup of sugar.

Answer 3

A recipe that makes 8 cookies calls for 2/5 cup of sugar and 1/3 cup of flour. Kinsley wants to proportionally increase these amounts to get one cup of sugar. Using the new recipe, how much flour should she use? Write your solution as a fraction

Answer 4

multiply everything by 4

4 * 2/3 = 8/3 = 2 2/3