5

Set 7: Linear Equations (Intermediate)

Explanation

Answer: B

A recipe uses 2 cups of flour for every 3 cups of sugar. If you use 9 cups of sugar, how much flour?

A.

3

B.

6

✓ Correct
C.

4

D.

9

Detailed Explanation

Choice B is correct. Choice B is the correct answer. 1. Proportion: 23=x9\frac{2}{3} = \frac{x}{9} 2. Cross Multiply: 3x=183x = 18 3. Divide by 3: x=6x = 6 Choice C is incorrect because it results from an error in the solution process. Choice A is incorrect because it results from an error in the solution process. Choice D is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 6

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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