Sara is serving wings and burgers at her party. Wings cost $6.00 per serving and burgers are $3.00 each. Sara knows that at least 4 of her friends want wings. Sara must spend less than $45.00. If x represents the number of wing servings and y represents the number of burgers, which system of inequalities could be used to determine how many of each kind of food Sara can serve?

Answer :

carlosego
For this case we have the following variables:
 x = the number of wing servings
 y = the number of burgers
 We write the system of equations:
 "Sara knows that at least 4 of her friends want wings":
 x> = 4
 "Sara must spend less than $ 45.00":
 6x + 3y <45
 Answer:
 
Sara could use the following system of inequalities to determine how many of each kind of food She can serve:
 
6x + 3y <45x> = 4

Answer:

The required inequalities are [tex]x\geq 4[/tex] and [tex]6x+3y<45[/tex].

She can serve 4 wings and 6 burgers, so that she spend less than $45.

Step-by-step explanation:

Consider the provided information.

Wings cost $6.00 per serving and burgers are $3.00 each.

x represents the number of wing servings and y represents the number of burgers.

Sara knows that at least 4 of her friends want wings.

Thus [tex]x\geq 4[/tex]

Sara must spend less than $45.00

[tex]6x+3y<45[/tex]

Hence, the required inequalities are [tex]x\geq 4[/tex] and [tex]6x+3y<45[/tex].

Now find how many of each kind of food Sara can serve.

If she serve 4 wings:

[tex]6(4)+3y<45[/tex]

[tex]3y<45-24[/tex]

[tex]y<7[/tex]

She can serve 4 wings and 6 burgers, so that she spend less than $45.

Similarly, She can serve 5 wings and 4 burgers, she can serve 6 wings and 2 burger or she can serve 7 wings.