Question

Your family orders delivery from a local 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?
Let x = chicken
x + y =6
Let y = steak
14x + 17 y = 99

Answer 1

1 person ordered chicken and 5 people ordered steak

Explanation:

Since we have equations already given, lets solve to get the answer.

First, substitution

• x=6-y

Then, as per the second equation.

• 14(6-y) + 17y = 99

• 84-14y + 17y = 99

• 3y=99-84

• 3y= 15

• y= 15/3

• y= 5

Then

• x=6-y

• x=6-5

• x=1

We got 1 chicken and 5 steak orders