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.

Step-by-step 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

$3y =15\\\\\Rightarrow y=\dfrac{15}{3}=5$

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.