Leah sold 115 museum tickets for a total of $1,163. Adult tickets cost $12 and student tickets cost $5. How many adult tickets did she sell?
A31
B77
C84
D91
Answer & Solution
Correct answer: C. 84
1. Let a be the number of adult tickets, so 115 - a is the number of student tickets.
2. Write the value equation: 12a plus 5(115 - a) equals 1,163.
3. Distribute: 12a plus 575 minus 5a equals 1,163.
4. Combine like terms: 7a plus 575 equals 1,163.
5. Subtract 575 and divide by 7: a equals 84 adult tickets.
6. Check: 84 adult tickets bring 1,008 dollars and 31 student tickets bring 155 dollars, totaling 1,163 dollars.
7. 31 is the student count, the trap for answering the wrong question.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.3 Solve Mixture Applications_
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