Question 7 • Precalculus
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.
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