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? 4 6 10 12

Answer 1

4

Step-by-step explanation: the maximum number of ride tickets she can buy is 4. so option a is correct

Answer 2

4

Explanation:

Here let the number of ride tickets be r, and the number of food tickets be f.

Hence

`r+f\ge16\\4r+2f\le40`

We first plot the two inequalities on graph as shown in attachment. From the graph we see that the two in-equation meet at (4,12)

Hence we can see that the maximum value of r is 4