A recipe requires sugar and flour in the ratio of 2:3. If there are 15 cups of f

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Question: A recipe requires sugar and flour in the ratio of 2:3. If there are 15 cups of flour, how many cups of sugar are needed?

Options:

Correct Answer: 10

Solution:

Let sugar be 2x and flour be 3x. Given 3x = 15, x = 5. Therefore, sugar = 2x = 2*5 = 10.

A recipe requires sugar and flour in the ratio of 2:3. If there are 15 cups of flour, how many cups of sugar are needed?

A recipe requires sugar and flour in the ratio of 2:3. If there are 15 cups of flour, how many cups of sugar 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 flour is 15 cups, so we set up the equation: 3x = 15.
Step 4: Solve for 'x' by dividing both sides of the equation by 3: x = 15 / 3.
Step 5: Calculate x, which gives us x = 5.
Step 6: Now, find the amount of sugar by using the formula for sugar: sugar = 2x.
Step 7: Substitute x into the sugar formula: sugar = 2 * 5.
Step 8: Calculate the amount of sugar: sugar = 10 cups.

Ratio and Proportion – Understanding how to set up and solve problems involving ratios, specifically how to relate quantities based on given ratios.
Algebraic Manipulation – Using algebra to express relationships and solve for unknowns, including setting up equations based on given information.