## The theater manager calculated the total revenue for the night to be \$5940 a total of 608 movie tickets and popcorn we’re sold a movie ticke

Question

The theater manager calculated the total revenue for the night to be \$5940 a total of 608 movie tickets and popcorn we’re sold a movie ticket cost \$11 and popcorn cost \$4.20 how many movie tickets were sold

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2 weeks 2021-09-10T19:39:26+00:00 1 Answer 0

1. Answer:498 movie tickets were sold.

Step-by-step explanation:

Let x represent the number of movie tickets that were sold.

Let y represent the number of popcorns that were sold.

A total of 608 movie tickets and popcorn were sold. It means that

x + y = 608

A movie ticket cost \$11 and popcorn cost \$4.20. The theater manager calculated the total revenue for the night to be \$5940. It means that

11x + 4.2y = 5940- – – – – – – – – -1

Substituting x = 608 – y into equation 1, it becomes

11(608 – y) + 4.2y = 5940

6688 – 11y + 4.2y = 5940

– 11y + 4.2y = 5940 – 6688

– 6.8y = – 748

y = – 748/- 6.8

y = 110

x = 608 – y = 608 – 110

x = 498