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

Number of people who order chicken dinner = 1

Number of people who order the steak dinner = 5

Explanation:

Let

x = number of people who order chicken dinner

y = number of people who order the steak dinner

x + y = 6 (1)

14x + 17y = 99 (2)

From (1)

x = 6 - y

Substitute into (2)

14x + 17y = 99 (2)

14(6 - y) + 17y = 99

84 - 14y + 17y = 99

- 14y + 17y = 99 - 84

3y = 15

y = 15/3

y = 5

Substitute y = 5 into (1)

x + y = 6 (1)

x + 5 = 6

x = 6 - 5

x = 1

Number of people who order chicken dinner = 1

Number of people who order the steak dinner = 5