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Q Searchmatics Gr 7)I need 4 cups of flours and 2 cups of sugar to make a cake. How many cups of sugar do I need if Ihave 12 cups of flour?(10 Points)3

2 Answers

7 votes

Final answer:

To find out how many cups of sugar are needed for 12 cups of flour, a proportion based on the original recipe is used. By cross-multiplying the proportion (4 cups of flour per 2 cups of sugar), it is determined that 6 cups of sugar are needed for 12 cups of flour.

Step-by-step explanation:

To determine how many cups of sugar are needed if you have 12 cups of flour, you should use a simple proportion based on the original recipe. The recipe needs 4 cups of flour and 2 cups of sugar to make one cake. If you have 12 cups of flour, you can set up a proportion where 4 cups of flour corresponds to 2 cups of sugar.

4 cups of flour / 2 cups of sugar = 12 cups of flour / x cups of sugar

Cross-multiplying to solve for x, you get:

  • 4x = 24
  • x = 24 / 4
  • x = 6

So, you would need 6 cups of sugar for 12 cups of flour.

User Ratan Kumar
by
4.3k points
6 votes

You will need 6 cups of sugar.

Step - by - Step Explanation

What to find? The number of cups of sugar needed to make a cake with 12 cups of flour.

Given:

Cups of flours = 4

Cups of sugar = 2

Cups of flour =12

Let x be the number of cups of sugar needed to make a cake with 12 cups of flour.

Using proportion;

4 cups of flour = 2 cups of sugar

12 cups of flour = x

Cross - multiply

4x = 24

Divide both-side of the equation by 4


\frac{\cancel{4}x}{\cancel{4}}=(24)/(4)

x =6

Hence, you will need 6 cups of sugar.

User Magzalez
by
4.2k points