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mafiozo [28]
2 years ago
6

The seating capacity of a theater is 250. Tickets are $3 for children and $5 for adults. The theater must take in at least $1100

per performance. Express this information as a system of inequalities. (Let the x refer to the number of children's tickets and the y refer to the number of adult tickets.)
Mathematics
1 answer:
maksim [4K]2 years ago
5 0

Answer:

x + y ≤

3x + 5y ≥ 1100

Step-by-step explanation:

Given:

Seating capacity of theater = 250

Cost of each child ticket = $3

Cost of each adult ticket = $5

Cost per performance = $1100 at least

Find:

System of inequalities

Computation:

Let;

x = Number of children's tickets

y = Number of adult tickets

So

x + y ≤

3x + 5y ≥ 1100

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Answer:

b) 24

Step-by-step explanation:

We solve building the Venn's diagram of these sets.

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We have that:

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By the same logic, we also have that:

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The union is:

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n(S \cap F) = 24

So the correct answer is:

b) 24

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