Answer:
u + m ≥ 25
25u + 40m ≤ 1000
Step-by-step explanation:
WRUF 103.7 FM is giving away tickets to a concert. Tim, the general manager of the radio station, plans to give away upper-level and mid-level seats that cost $25 and $40, respectively. Tim wants to give away at least 25 tickets, but he has a budget constraint of $1,000.
Write a system of two inequalities that describes this situation
Solution
Let
u = number of upper level tickets
m = number mid level tickets
Cost of upper level tickets = $25
Cost of mid-level tickets = $40
Tim wants to give away at least 25 tickets
He has a budget constraint of $1,000
Equation for the amount of tickets given away
u + m ≥ 25
Equation for the cost of tickets
25u + 40m ≤ 1000
