Question

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 l, how many people ordered each dinner?

Answer 1

Ok. You can use equations to find out what number of each meal was eaten. 

x*14+y*17=99

If you solve for x and y (I used guess and check- there's only a few possible combinations) and got one chicken dinner and five steak dinners.

Answer 2

The number of people having chicken dinner is 1 and the number of people having steak dinner is 5. This is determine by the help of linear equations.

Given :

• Total number of people = 6

• Total bill = $99

Solution :

• To determine how many people ordered each dinner linear equations has to be form.

• Let x be the number of people order chicken dinner and y be the number of people order steak dinner.

So, according to the given data the following linear equations are formed:

$x+y=6$  ---- (1)

$14x+17y = 99$  ---- (2)

Further simplification of equation (1) gives:

$x = 6-y$

Substitute the value of x in equation (2).

$14(6-y) +17y = 99$

$84-14y+17y=99$

$3y=15$

$y=5$

Now, substitute the value of y in equation (1).

$x = 6-5=1$

Therefore, the number of people having chicken dinner is 1 and the number of people having steak dinner is 5.

For more information, refer the link given below

https://brainly.com/question/2635551