2

Set 6: Linear Equations (Advanced)

Explanation

Answer: D

A tank has 100 liters and drains at 5 liters/min. Another tank has 20 liters and fills at 3 liters/min. When will they be equal?

A.

15

B.

8

C.

12

D.

10

✓ Correct

Detailed Explanation

Choice D is correct. Choice A is the correct answer. 1. Equation: 1005x=20+3x100- 5 x = 20 + 3 x 2. Add 5 x: 100=20+8x100= 20 + 8 x 3. Subtract 20: 80=8x80= 8 x 4. Divide by 8: 10=x10= x 5. Verify: 10050=50100- 50 = 50 and 20+30=5020+ 30 = 50 ✓ Choice C 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. Choice D is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 10

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

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