Question

The Junior­Senior Prom Committee must consist of 5 to 8 representatives from the junior and senior classes. The committee must include at least 2 juniors and at least 2 seniors.

Answer 1

The Junior-Senior Prom Committee must consist of 5 to 8 representatives from the junior and senior classes, with at least 2 juniors and at least 2 seniors. Here are two possible solutions: x = 2, y = 3 and x = 3, y = 2.

Step-by-step explanation:

We are given that the Junior-Senior Prom Committee must consist of 5 to 8 representatives from the junior and senior classes, with at least 2 juniors and at least 2 seniors. Let x be the number of juniors and y be the number of seniors.

We can write the following equations to represent the given constraints:

x + y ≥ 5

x + y ≤ 8

x ≥ 2

y ≥ 2

To find two possible solutions for the numbers of juniors and seniors on the prom committee, we can try different values for x and y that satisfy the given constraints. Here are two possible solutions:

• Solution 1: x = 2, y = 3
• Solution 2: x = 3, y = 2

Complete question:

• The Junior-Senior Prom Committee must consist of 5 to 8 representatives from the junior and senior classes. The committee must include at least 2 juniors and at least 2 seniors. Let x be the number of juniors and y be the number of seniors. Give two possible solutions for the numbers of juniors and seniors on the prom committee.