7
QuizMultiple Choice

Cramer's Rule — Unit test

Question 7 • Precalculus

Tickets to the zoo cost $4 for children, $5 for teenagers and $6 for adults. In the high season, 1200 people come to the zoo every day. On a certian day, the total revenue at the zoo was $5300. For every 3 teenagers, 8 children went to the zoo. How many adults went to the zoo?

Answer
A
100 adults
B
150 adults
C
200 adults
D
250 adults

Explanation

Let the numbers of teenagers and children be 3k and 8k, since their ratio is 3:8. Then the number of adults is 1200 − 11k, and the revenue equation is 5(3k) + 4(8k) + 6(1200 − 11k) = 5300. Simplifying gives 7200 − 19k = 5300, so k = 100; therefore, there are 1200 − 1100 = 100 adults. The correct choice is 100 adults.

AI-written and checked against the verified answer.

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