Asmall theater with 200 seats sells two kinds of tickets for a performance. premium tickets sell for $20 each and standard tickets sell for $15 each. at a sold-out performance, $3400 was collected in ticket sales. how many tickets of each type were sold?

There were 120 Premium tickets sold and 80 Standard tickets.

Let the number of premium tickets = p

Let the number of standard tickets = s

Based on the information given, the equation to solve the question will be:

p + s = 200 i

20p + 15s = 3400 ii

From equation i, p = 200 - s

Since 20p + 15 = 3400

20(200 - s) + 15s = 3400

4000 - 20s + 15s = 3400

Collect like terms

-20s + 15s = 3400 - 4000

-5s = -600

s = 600/5

s = 120

Since p + s = 200

p = 200 - s.

p = 200 - 120

p = 80

In conclusion, there were 120 Premium tickets sold and 80 Standard tickets

Read related link on:

link

it could be 1,3 and more others to create a cylinder.

step-by-step explanation: