Answer to Question #201192 in Algebra for farooq

Question

Given the maximum capacity of 200 seats, adult tickets cost $12.50 each and child tickets cost $6.25 each. The company's goal is to sell at least $1500 worth of tickets. What is the minimum number of adult tickets they must sell? Prove your answer.

Answer 1

$x$ - adult tickets

$200-x$ - child tickets

$12.5x+(200-x)6.25\geq 1500\\ 12.5x+1250-6.25x\geq1500\\ 6.25x\geq250\\ x\geq40$

40 is the minimum number of adult tickets