Question 10 Answer & Explanation - SAT Algebra

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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?

Correct Answer: D

Choice Choice D is the correct answer.

Set up equation: $10x + 50 = 15x + 20$
Subtract 10x: $50 = 5x + 20$
Subtract 20: $30 = 5x$
Divide by 5: $6 = x$
Verify: $10(6) + 50 = 110$ and $15(6) + 20 = 110$ ✓

Choice Choice A is incorrect because calculation error.

Choice Choice C is incorrect because calculation error.

Choice Choice B is incorrect because calculation error.

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