Question

The band is selling snacks during lunch. Nachos are $2 each and burgers are $4 each. You want to buy at least 5 items. You want to spend no more than $16 total. a. Define the variables

b. Write a system of inequality
c. Give 2 possible solutions

Answer 1

2 nachos , 3 burgers is one possible solution.

1 nacho , 4 burger is another possible solution.

Explanation:

Cost of nachos = $2 each

Cost of Burgers = $4 each

Hence, the variables are defined as:

Let x be the total number of nachos purchased.

and y be the number of burgers purchased.

According to the question, system of inequalities are:

x + y ≥5

and, 2x + 4y ≤ 16

Now, solving for x and y,

as x + y = 5 ⇒ y = 5 -x

Substitute in the second equation, we get

2x + 4(5-x) = 16

or, 2x + 20 - 4x = 16

or, x = 2 and therefore y = 5-x = 5-2 = 3

So, x = 2 , y=3 is one possible solution.

x = 1 , y = 4 is another possible solution.