MATH SOLVE

3 months ago

Q:
# 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

Accepted Solution

A:

Answer: 2 nachos , 3 burgers is one possible solution. 1 nacho , 4 burger is another possible solution.Step-by-step explanation:Cost of nachos = $2 eachCost of Burgers = $4 eachHence, 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 ≥5and, 2x + 4y ≤ 16Now, solving for x and y, as x + y = 5 ⇒ y = 5 -xSubstitute in the second equation, we get2x + 4(5-x) = 16or, 2x + 20 - 4x = 16or, x = 2 and therefore y = 5-x = 5-2 = 3So, x = 2 , y=3 is one possible solution. x = 1 , y = 4 is another possible solution.