7

Set 14: Linear Equations (Intermediate)

Explanation

Answer: D

Company A charges $50 plus $10 per hour. Company B charges $20 plus $15 per hour. For how many hours are the costs the same?

A.

2

B.

10

C.

5

D.

6

✓ Correct

Detailed Explanation

Choice D is correct. Choice D is the correct answer. 1. Set up equation: 10x+50=15x+2010x + 50 = 15 x + 20 2. Subtract 10 x: 50=5x+2050= 5 x + 20 3. Subtract 20: 30=5x30= 5 x 4. Divide by 5: 6=x6= x 5. Verify: 10(6)+50=11010(6) + 50 = 110 and 15(6)+20=11015(6) + 20 = 110 ✓ Choice A is incorrect because it results from an error in the solution process. 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 6

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.
← PreviousNext →

🎯 Keep Practicing!

Master all sections for your best SAT score

📚Reading & Writing→📖Vocabulary→