The school production of 'Our Town' was a big success. For opening night, 392 tickets were sold. Students paid $3.00 each, while non-students paid $5.00 each. If a total of $ 1482.00 was collected, how many students and how many non-students attended?

Question

Mathematics

Sasha Weaver

4 July, 11:44

The school production of 'Our Town' was a big success. For opening night, 392 tickets were sold. Students paid $3.00 each, while non-students paid $5.00 each. If a total of $ 1482.00 was collected, how many students and how many non-students attended?

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Answers (1)

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Camila · Answer 1

239 students and 153 non-students attended to the school production of "Our Town"

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Number of tickets of the school production sold = 392

Student ticket cost = US$ 3

Non-students ticket cost = US$ 5

Total collected = US$ 1,482

2. How many students and how many non-students attended?

For answering the question we will use the following equation:

x = Number of students that attended the school production

392 - x = Number of non-students that attended the school production

3x + (392 - x) * 5 = 1,482

3x + 1,960 - 5x = 1,482

-2x = 1.482 - 1,960

-2x = - 478

x = - 478/-2

x = 239 ⇒ 392 - 239 = 153

239 students and 153 non-students attended to the school production of "Our Town"