7

Set 11: Linear Equations

Explanation

Answer: A

Two containers have water. Container A has 50 liters and is losing 2 liters per minute. Container B has 10 liters and is gaining 3 liters per minute. When will they have the same amount?

A.

8

✓ Correct
B.

5

C.

10

D.

12

Detailed Explanation

Choice A is correct. Choice B is the correct answer. 1. Set up equation: 50−2x=10+3x50- 2 x = 10 + 3 x 2. Add 2 x: 50=10+5x50= 10 + 5 x 3. Subtract 10: 40=5x40= 5 x 4. Divide by 5: 8=x8= x 5. Verify: 50−16=3450- 16 = 34 and 10+24=3410+ 24 = 34 ✓ 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 B is incorrect because it results from an error in the solution process.

Key Steps:

•

The correct answer is 8

Why others are wrong:
B: Choice B 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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