A theater sold tickets for the Saturday afternoon and evening performances of a play. Each ticket cost $32. Three times as many people bought tickets for the evening performances as for the afternoon performance. Altogether, 4,356 tickets were sold. How many tickets for the evening performance were sold?

Question

Mathematics

Markus Richard

Today, 09:54

A theater sold tickets for the Saturday afternoon and evening performances of a play. Each ticket cost $32. Three times as many people bought tickets for the evening performances as for the afternoon performance. Altogether, 4,356 tickets were sold. How many tickets for the evening performance were sold?

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Answers (1)

Know the Answer?

Karlie Burke · Answer 1

3,267

Step-by-step explanation:

Fro the statement you can write the following equations:

x+y = 4,356 (1)

y = 3x (2)

x = afternoon perforance

y = evening perforance

Then, you can replace 2 in 1 and isolate x:

x+3x = 4,356

4x = 4,356

x = 4,356/4 = 1,089

y = 3x = 3 (1,089) = 3,267

According to this, the answer is that for the evening performance 3,267 tickets were sold.