2

Set 4: Linear Equations (Advanced)

Explanation

Answer: B

The ratio of red to blue marbles is 4:5. If there are 36 marbles, how many are blue?

A.

16

B.

20

✓ Correct
C.

15

D.

25

Detailed Explanation

Choice B is correct. Choice A is the correct answer. 1. Equation: 4x+5x=364x + 5 x = 36 2. Combine: 9x=369x = 36 3. Divide by 9: x=4x = 4 4. Blue: 5(4)=205(4) = 20 Choice D is incorrect because this is red marbles. Choice C is incorrect because it results from an error in the solution process. Choice B is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 20

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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