Camp Counselor's Mountain Hike Adventure

How many campers does the camp counselor need for the mountain hikes?

The camp counselor needs at least 6 campers on the low trail and at least 2 campers on the high trail. How many campers in total does the counselor need to sign up for both hikes?

Answer:

The camp counselor needs a total of 10 campers to sign up for both mountain hikes.

Imagine an exciting outdoor adventure led by the camp counselor with two exhilarating mountain hikes – one on the low trail and another on the high trail. To ensure a fun and safe experience for all campers, the counselor has set specific requirements for the number of participants on each trail.

The camp counselor must have a minimum of 6 campers join the hike on the low trail to guarantee a well-rounded group experience. Additionally, at least 2 campers are needed to join the high trail hike for a balanced exploration of both terrains.

Combining these requirements, the camp counselor calculates that a maximum of 10 campers can join both hikes collectively. This ensures that the group size remains manageable and allows for personalized attention and guidance during the mountain adventures.

Therefore, the camp counselor's system of inequalities for this situation can be summarized as follows:

x ≥ 6 (Number of campers on the low trail)

y ≥ 2 (Number of campers on the high trail)

x + y ≤ 10 (Total number of campers for both hikes)