PSAT Math Multiple-Choice Question 339: Answer and Explanation

Question: 339

Sixty people attended a concert. Children's tickets sold for $8 each and adult tickets sold for $12 each. If $624 was collected in ticket money, how many more adults than children attended the concert?

• A. 0
• B. 12
• C. 24
• D. 60

Correct Answer: B

Explanation:

B

Difficulty: Medium

Getting to the Answer: Translate English into math to extract what you need. First, define the variables using letters that make sense. Use c for children and a for adults. Now, break the word problem into shorter phrases: children's tickets sold for $8 each; adult tickets sold for $12 each; 60 people attended the concert; $624 was collected in ticket money. Translating each phrase into a math expression will produce the components needed:

Children's tickets (c) cost $8 each