A recipe requires sugar and flour in the ratio of 2:3. If there are 12 cups of s

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Question: A recipe requires sugar and flour in the ratio of 2:3. If there are 12 cups of sugar, how many cups of flour are needed?

Options:

Correct Answer: 18

Solution:

Let sugar = 2x and flour = 3x. Given 2x = 12, x = 6. Therefore, flour = 3x = 3*6 = 18.

A recipe requires sugar and flour in the ratio of 2:3. If there are 12 cups of sugar, how many cups of flour are needed?

A recipe requires sugar and flour in the ratio of 2:3. If there are 12 cups of sugar, how many cups of flour are needed?

Step 1: Understand the ratio of sugar to flour, which is 2:3.
Step 2: Let 'x' be a common multiplier. This means sugar is 2x and flour is 3x.
Step 3: We know the amount of sugar is 12 cups. So, set 2x equal to 12: 2x = 12.
Step 4: Solve for x by dividing both sides of the equation by 2: x = 12 / 2 = 6.
Step 5: Now, find the amount of flour by using the value of x. Flour is 3x, so calculate 3 * 6.
Step 6: Multiply 3 by 6 to get the amount of flour: 3 * 6 = 18 cups.

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.