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

The number of people who ordered steak dinner is 5

The number of people who ordered chicken dinner is 2

Step-by-step explanation:

Given as:

The total number of people went for the dinner = 7

The total bill price for the dinner = $ 109

The price for the chicken dinner = $ 12

The price for the steak dinner = $ 17

Let The number of people who ordered chicken dinner = c

And The number of people who ordered steak dinner = s

Now, According to question

The total number of people went for the dinner = The number of people who ordered chicken dinner + The number of people who ordered steak dinner

Or, c + s = 7

And The total bill price for the dinner = The price for the chicken dinner * The number of people who ordered chicken dinner + The price for the steak dinner * The number of people who ordered steak dinner

Or, $ 12 * c + $ 17 * s = $ 109

Now, solving the equations

$ 12 * (c + s) = $ 12 * 7

Or, $ 12 * c + $ 12 * s = $ 84

Or, ($ 12 * c + $ 17 * s) - ($ 12 * c + $ 12 * s) = $ 109 - $ 84

Or, ($ 12 * c - $ 12 * c) + ($ 17 * s - $ 12 * s) = $ 25

Or, (0) + ($ 5 s) = $ 25

∴ s = / frac{25}{5}

I. e s = 5

So, The number of people who ordered steak dinner = s = 5

Put the value og s in Eq A

∵, c + s = 7

or, c = 7 - s

Or, c = 7 - 5

I. e c = 2

So, The number of people who ordered chicken dinner = c = 2

Hence The number of people who ordered steak dinner is 5

And The number of people who ordered chicken dinner is 2 Answer