A recipe requires sugar and flour in the ratio of 2:3. If you have 12 cups of fl

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Question: A recipe requires sugar and flour in the ratio of 2:3. If you have 12 cups of flour, how much sugar do you need?

Options:

Correct Answer: 8

Solution:

Let sugar be 2x and flour be 3x. Given 3x = 12, x = 4. Therefore, sugar = 2x = 2*4 = 8.

A recipe requires sugar and flour in the ratio of 2:3. If you have 12 cups of flour, how much sugar do you need?

A recipe requires sugar and flour in the ratio of 2:3. If you have 12 cups of flour, how much sugar do you need?

Step 1: Understand the ratio of sugar to flour, which is 2:3.
Step 2: Let 'x' be a common multiplier for the ratio. So, sugar is 2x and flour is 3x.
Step 3: Since we know the amount of flour is 12 cups, we can set up the equation: 3x = 12.
Step 4: Solve for 'x' by dividing both sides of the equation by 3: x = 12 / 3.
Step 5: Calculate x: x = 4.
Step 6: Now, find the amount of sugar by using the value of x: sugar = 2x = 2 * 4.
Step 7: Calculate the amount of sugar: sugar = 8.

Ratio and Proportion – Understanding how to use ratios to find quantities in relation to each other.
Algebraic Representation – Using variables to represent quantities and solve for unknowns.