Question

A grill at a barbecue restaurant will be used to cook sausage links that are 2 lb each and briskets that are 6 lb each. No more than 120 lb of sausage links and briskets will be cooked on the grill.

Which inequality represents all possible combinations of x, the number of sausage links that will be cooked on the grill, and y, the number of briskets that will also be cooked?

Answer 1

2x + 6y ≤ 120

Explanation:

From the above question, we are told that: No more than 120 lb of sausage links and briskets will be cooked on the grill.

Let

x = Number of sausage links

y = Number of Briskets

The word NO MORE THAN means less than or equal to 120 lb and this word is represented by the inequality sign:

≤

Sausage links = 2 lb each

Briskets = 6 lb each

The inequality =

2lb × x + 6lb × y ≤ 120lb

2x + 6y ≤ 120

Therefore, the inequality represents all possible combinations of x, the number of sausage links that will be cooked on the grill, and y, the number of briskets that will also be cooked is given as:

2x + 6y ≤ 120