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?

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.

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ahirohit963 ahirohit963 · Answer 2 · 2021-11-01T10:58:23+01:00

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:

[tex]x+y=6[/tex] ---- (1)

[tex]14x+17y = 99[/tex] ---- (2)

Further simplification of equation (1) gives:

[tex]x = 6-y[/tex]

Substitute the value of x in equation (2).

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

[tex]84-14y+17y=99[/tex]

[tex]3y=15[/tex]

[tex]y=5[/tex]

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

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

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