Question

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 1

The required inequalities are
`x\geq 4` and
`6x+3y<45`.

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

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
`x\geq 4`

Sara must spend less than $45.00

`6x+3y<45`

Hence, the required inequalities are
`x\geq 4` and
`6x+3y<45`.

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

If she serve 4 wings:

`6(4)+3y<45`

`3y<45-24`

`y<7`

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.