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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?

Respuesta :

absor201

Answer:

We conclude that:

  • The number of people who ordered the chicken dinner = 1
  • The number of people who ordered the steak dinner = 5

Step-by-step explanation:

Given that

  • Some order the chicken dinner for $14
  • some order the steak dinner for $17.
  • Total bill = $99

  • Let 'n' be the number of people who ordered the chicken dinner.
  • Let '6-n' be the number of people who ordered the steak dinner.

Thus, the equation becomes

[tex]14n + 17(6-n) = 99[/tex]

[tex]14n + 102 - 17n = 99[/tex]

[tex]-3n = 99 - 102[/tex]

[tex]-3n = -3[/tex]

Divide both sides by -3

[tex]n = 1[/tex]

and

[tex]6-n = 6-1 = 5[/tex]

Therefore, we conclude that:

  • The number of people who ordered the chicken dinner = 1
  • The number of people who ordered the steak dinner = 5