Question

your family goes to a Southern style resaurant for dinner. there are 6 people in your family.Some order the chicken dinner for $14 and some order the stea k dinner for $17.If the total bill was $99,how many people ordered each dinner?

Answer 1

Answer: One person ordered chicken dinner and 5 persons ordered steak dinner.

Explanation:

Let x = Number of people ordered chicken dinner

y= Number of people ordered steak dinner.

Then According to the question we have following system of equations,

`x+y=6---------------(1)\\\\ 14x+17y=99----------------(2)`

Multiply 14 on both sides of equation (1) , we get

`14x+14y=84------------(3)`

Eliminate equation (3) from equation (2) , we get

`3y =15\\\\\Rightarrow y=(15)/(3)=5`

Put value of y in (1) , we get

`x+5=6\\\Rightarrow\ x= 1`

Hence, one person ordered chicken dinner and 5 persons ordered steak dinner.