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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?

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absor201

One chicken dinner and 5 steak dinners were ordered.

Step-by-step explanation:

Given,

Total family members = Number of orders = 6

Cost of each chicken dinner = $14

Cost of each steak dinner = $17

Total bill = $99

Let,

x represent the number of chicken dinner ordered

y represent the number of steak dinner ordered

According to given statement;

x+y=6      Eqn 1

14x+17y=99   Eqn 2

Multiplying Eqn 1 by 14

[tex]14(x+y=6)\\14x+14y=84\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](14x+17y)-(14x+14y)=99-84\\14x+17y-14x-14y=15\\3y=15[/tex]

Dividing both sides by 3

[tex]\frac{3y}{3}=\frac{15}{3}\\y=5[/tex]

Putting y=5 in Eqn 1

[tex]x+5=6\\x=6-5\\x=1[/tex]

One chicken dinner and 5 steak dinners were ordered.

Keywords: linear equation, elimination method

Learn more about linear equations at:

  • brainly.com/question/10808021
  • brainly.com/question/10894205

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Answer:

One chicken dinner and 5 steak dinners were ordered.

Step-by-step explanation:

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