The admission fee for a soccer game is $5 for adults and $3 for children. 2,600 people attended the game and $11,400 is collected in ticket sales. Which system of equations yields the cost of an adult ticket, a, and a child ticket, c? A) a + c = 2,600 a + c = 11,400 B) a + c = 11,400 5a + 3c = 2,600 C) a + c = 2,600 5a + 3c = 11,400 D) 5a + 3c = 2,600 5a + 3c = 11,400

Question

Mathematics

Misael Richmond

6 March, 12:25

The admission fee for a soccer game is $5 for adults and $3 for children. 2,600 people attended the game and $11,400 is collected in ticket sales. Which system of equations yields the cost of an adult ticket, a, and a child ticket, c? A) a + c = 2,600 a + c = 11,400 B) a + c = 11,400 5a + 3c = 2,600 C) a + c = 2,600 5a + 3c = 11,400 D) 5a + 3c = 2,600 5a + 3c = 11,400

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C)

Step-by-step explanation:

Because there are 2600 people, a + c = 2600.

It is $5 for adults and $3 for children, and this is $11400, so 5a + 3c = 11400.

This is C).