Question

For the problem below, define a variable, write an equation, and solve it.

For the school play, the advance tickets cost $3, while tickets at the door cost $5. Thirty more tickets were sold at door than in advance, and $2630 was collected. How many of each ticket was sold. Write your answer in a sentence.

Answer 1

let the number of door tickets be x

so, eventually the number of advanced tickets will be. x-30

the total cost=2630.

(x-30)3+5x=2630

3x-90+5x=2630

8x-90=2630

8x=2630+90

8x/8=2720/8

x=340

x-30

340-30

310.

total tickets sold=310+340=650

Therefore, the total tickets bought was 650, 310 was advanced and 340 was door tickets