2
QuizMultiple Choice

Cramer's Rule — Unit test

Question 2 • 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 teenagers went to the zoo?

Answer
A
100 teenagers
B
200 teenagers
C
300 teenagers
D
400 teenagers

Explanation

Let the numbers of children and teenagers be 8k and 3k, since their ratio is 8:3. Then there are 1200 − 11k adults, so the revenue is 4(8k) + 5(3k) + 6(1200 − 11k) = 5300. Simplifying gives 7200 − 19k = 5300, so k = 100 and the number of teenagers is 3k = 300. The correct choice is 300 teenagers.

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