Question bank / Linear equations in two variables

Math · AlgebraEasy

A theater sells adult tickets for $12\$12 each and child tickets for $8\$8 each. One evening the theater collected $384\$384 and sold 2020 adult tickets. How many child tickets did it sell?

A

1212

B

1818

C

3030

D

4848

Show answer and explanation

Answer: B

The equation is 12(20)+8c=38412(20) + 8c = 384. Then 240+8c=384240 + 8c = 384, so 8c=1448c = 144 and c=18c = 18.

Choice D divides the full $384\$384 by 8, ignoring the adult ticket revenue.

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