Algebra 2 Linear

Question

Wet N’ Dry camp provides water-based activities and ground sports

activities for a maximum of 80 campers. There should be a minimum of

eight campers doing water-based activities and a minimum of five

campers doing ground sports activities.

Part A: Write a system of three inequalities that describes the situation.

Part C: Write one possible solution to the problem in sentence form.

Answer 1

Let W be campers doing water-based activities, and let S be campers doing sports activities.

Part A:

W >= 8

S >= 5

W + S <= 80

You can combine these inequalities and say that: 8 <= W <=75 AND 5 <= S <= 72. Which means there are MANY possible valid arrangements/quantities of campers.

Part C:

The smallest camp size is 13 campers with 8 in the water, and 5 doing sports.

or

The largest camp size is 80 campers, and we could, if we choose, divide them equally with 40 in the water and 40 doing sports.

or...