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

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

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 you have 12 cups of sugar, how many cups of flour do you need?

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

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: Since we know the amount of sugar is 12 cups, we can set up the equation: 2x = 12.
Step 4: Solve for 'x' by dividing both sides of the equation by 2: x = 12 / 2.
Step 5: Calculate x, which gives us x = 6.
Step 6: Now, find the amount of flour using the value of x: flour = 3x.
Step 7: Substitute x into the flour equation: flour = 3 * 6.
Step 8: Calculate the amount of flour: flour = 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.