Question

At a restaurant, there are three different appetizers on the menu: loaded nachos, buffalo wings, and cheese sticks. One group buys 2 plates of buffalo wings and 1 plate of cheese sticks, and spends $23 on appetizers. Another group spends $30.75 to buy 3 plates of loaded nachos and a plate of buffalo wings. A third group buys one of each appetizer, spending $22.25 on appetizers. How much does a plate of loaded nachos cost?


A.$6.50

B.$7.50

C.$7.75

D.$8.25

E.$8.50

Answer 1

Answer:

B. $7.50

Hope this helps you! Have an amazing day :)

Answer 2

Answer:

Option B is the correct answer.

Step-by-step explanation:

Let the price per plate of loaded nachos, buffalo wings, and cheese sticks be n, b and c.

One group buys 2 plates of buffalo wings and 1 plate of cheese sticks, and spends $23.

That is

              2b + 1c = 23

              2b + c = 23 ----------------------eqn 1

Another group spends $30.75 to buy 3 plates of loaded nachos and a plate of buffalo wings

That is

              3n + 1b = 30.75

              3n + b = 30.75 ----------------------eqn 2

A third group buys one of each appetizer, spending $22.25

That is

              n + b + c  = 22.25 ---------------------eqn 3

eqn2 - eqn3

             2n - c = 8.5 ---------------------eqn 4

eqn 1 + eqn 4

              2b+ 2n = 31.5

                 b + n = 15.75 ---------------------eqn 5

eqn 3 - eqn 5

               c = 6.5

Substituting in eqn 4

            2n - 6.5 = 8.5

               n = 7.5

Substituting in eqn 3

            7.5 + b + 6.5  = 22.25

                b = 8.25

Price of nachos n = 7.5 $

Option B is the correct answer.