7. Mr. Newman bought 8 tickets to a chili supper and spent a total of $30. He bought a combination of adult tickets for $5 each and child tickets $3 each. Which system of equations below will determine the number of child tickets, c, and the number of adult tickets, a, he bought?

Question

Mathematics

Lainey Guerra

5 November, 15:25

7. Mr. Newman bought 8 tickets to a chili supper and spent a total of $30. He bought a combination of adult tickets for $5 each and child tickets $3 each. Which system of equations below will determine the number of child tickets, c, and the number of adult tickets, a, he bought?

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Answers (2)

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Dania · Answer 1

So, there are two equations.

5a + 3c = 30

a + c = 8, therefore, a = 8 - c

5a + 3c = 30

5 (8 - c) + 3c = 30

40 - 5c + 3c = 30

-2c = - 10

c = 5, So a = 3

Ross Wise · Answer 2

The answer is D. 5a + 3c = 30 a + c = 8