At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least 16 tickets. The system of inequalities represents the number of ride tickets, r, and the number of food tickets, f, she buys.

r + f ≥ 16

4r + 2f ≤ 40

What is the maximum number of ride tickets she can buy?

Question

At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least 16 tickets. The system of inequalities represents the number of ride tickets, r, and the number of food tickets, f, she buys.

r + f ≥ 16

4r + 2f ≤ 40

What is the maximum number of ride tickets she can buy?

Mercury · Answer

multiply the first equation by -2, this will flip the direction of the inequality and allow you to cancel out f when you add the two equations together. from there you can solve for r.

Mercury · Answer

*multiply the first inequality, but you get the point

Narad · Answer

Graph the 2 lines on your calculator
The point of intersection of the 2 lines will yield 4 ride tickets and 12 food tickets