Answer: 1 person ordered for the chicken dinner and 5 people ordered the steak dinner.
Step-by-step explanation:
Let x represent the number of people that ordered the chicken dinner.
Let y represent the number of people that ordered the steak dinner.
There are 6 people in your family who ordered for either of the dinners. This means that
x + y = 6
Some ordered the chicken dinner for $14 and some ordered the steak dinner for $17 ,if the total bill was $99, it means that
14x + 17y = 99 - - - - - - - - - -1
Substituting x = 6 - y into equation 1, it becomes
14(6 - y) + 17y = 99
84 - 14y + 17y = 99
- 14y + 17y = 99 - 84
3y = 15
y = 15/3 = 5
x = 6 - y = 6 - 5
x = 1
