A recipe requires sugar and flour in the ratio of 2:3. If there are 10 cups of f

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Question: A recipe requires sugar and flour in the ratio of 2:3. If there are 10 cups of flour, how many cups of sugar are needed?

Options:

Correct Answer: 4

Solution:

Let sugar be 2x and flour be 3x. Given 3x = 10, x = 10/3. Therefore, sugar = 2x = 2*(10/3) = 20/3 ≈ 6.67.

A recipe requires sugar and flour in the ratio of 2:3. If there are 10 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 10 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 10 cups, so we set up the equation: 3x = 10.
Step 4: Solve for x by dividing both sides of the equation by 3: x = 10 / 3.
Step 5: Now, calculate the amount of sugar using the value of x: sugar = 2x = 2 * (10 / 3).
Step 6: Simplify the calculation: sugar = 20 / 3.
Step 7: If needed, convert 20/3 to a decimal: 20 / 3 ≈ 6.67 cups of sugar.

Ratio and Proportion – Understanding how to use ratios to find quantities in relation to each other.
Algebraic Manipulation – Solving for a variable using algebraic expressions.