Question

Your family goes to a Southern-style restaurant for dinner. There are 6 people in your family.

Some order the chicken dinner for $14 and some order the steak dinner for $17. If the total bill
was $99, how many people ordered each dinner?

Answer 1

We conclude that:

• The number of people who ordered the chicken dinner = 1

• The number of people who ordered the steak dinner = 5

Explanation:

Given that

• Some order the chicken dinner for $14

• some order the steak dinner for $17.

• Total bill = $99

• Let 'n' be the number of people who ordered the chicken dinner.

• Let '6-n' be the number of people who ordered the steak dinner.

Thus, the equation becomes

`14n + 17(6-n) = 99`

`14n + 102 - 17n = 99`

`-3n = 99 - 102`

`-3n = -3`

Divide both sides by -3

`n = 1`

and

`6-n = 6-1 = 5`

Therefore, we conclude that:

• The number of people who ordered the chicken dinner = 1

• The number of people who ordered the steak dinner = 5