Question

Orchestra Tonight is selling tickets for its local performance. Orchestra fans can buy tickets to sit in the balcony or on the top floor of the concert hall. Tickets for balcony seats are $83 each. Tickets for seating on the floor are 60% of the price of the balcony tickets. Which inequality represents all possible combinations of f, the number of tickets for floor seats and b, the number of tickets for balcony seats, that a person can buy and spend no more than $560. a 83b+138.33f>560 b 83b+49.8f>560 c 83b+49.8f\le560 d 83b+138.33f\le560

Answer 1

c

Explanation:

Given that:

Cost of balcony seat = $83

Cost of seating on floor = 60% of balcony seat = 0.6 * $83 = $49.8

Number of tickets for floor seat = f

Number of tickets for balcony seat = b

Total amount to spend should not exceed $560;

[(Cost of balcony ticket * number of balcony tickets) + ( cost of floor tickets * number of floor tickets)] ≤ 560

83b + 49.8f ≤ 560

The closest from the options given is :

83b + 49.8 < 560