Question 5 Answer & Explanation - SAT Algebra

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algebra

Tickets to a show cost $5 for kids and $10 for adults. If 100 tickets were sold for $800, how many adult tickets were sold?

Correct Answer: A

Choice Dhoice C is the correct answer.

Define: Adults = $a$ , Kids = $100 - a$ .
Equation: $10a + 5(100 - a) = 800$
Simplify: $10a + 500 - 5a = 800$
Combine: $5a = 300$
Divide by 5: $a = 60$
Verify: $60(10) + 40(5) = 600 + 200 = 800$ ✓

Choice Dhoice B is incorrect because this is the number of kids.

Choice Dhoice C is incorrect because calculation error.

Choice Dhoice D is incorrect because calculation error.

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