Jordan and his family are going to the movies in a van that can hold up to 9 people. At the theater, adult tickets cost $3.75 and child tickets cost $2.25. If they spend no more than $24.00 on admission, which system of inequalities below can be used to determine the number of adults (a) and children (c) who can attend the movie?

Question

Mathematics

Adalynn Mason

17 June, 06:15

Jordan and his family are going to the movies in a van that can hold up to 9 people. At the theater, adult tickets cost $3.75 and child tickets cost $2.25. If they spend no more than $24.00 on admission, which system of inequalities below can be used to determine the number of adults (a) and children (c) who can attend the movie?

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Answers (1)

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Melissa Valentine · Answer 1

Answer:the system of inequalities are

x + y ≤ 9

3.75a + 2.25c ≤ 24

Step-by-step explanation:

Let a represent the number of adults that can attend the movie.

Let c represent the number of children that can attend the movie.

Jordan and his family are going to the movies in a van that can hold up to 9 people. This means that

x + y ≤ 9

At the theater, adult tickets cost $3.75 and child tickets cost $2.25. If they spend no more than $24.00 on admission, it means that

3.75a + 2.25c ≤ 24