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Galen sold 810 tickets to his church carnival for a total of $2,820, with children's tickets at $3 and adult tickets at $5. How many children's tickets did he sell?
A615
B195
C405
D270
Answer & Solution
Correct answer: A. 615
1. Let c equal the number of children's tickets, so the number of adult tickets is 810 minus c.
2. The total value equation is 3c plus 5(810 minus c) equals 2,820.
3. Distribute and combine like terms: negative 2c plus 4,050 equals 2,820.
4. Subtract 4,050 and divide by negative 2 to get c equals 615 children's tickets.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.3 Solve Mixture Applications_
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