Your family goes to a restaurant for dinner. There are 7 people in your family. Some order the chiken dinner for $ 12 dollars and some order the steak dinner for $ 17 dollars. If the bill was $ 109 dollars, how many people ordered each dinner?
Accepted Solution
A:
Answer:The number of people who ordered steak dinner is 5The number of people who ordered chicken dinner is 2Step-by-step explanation:Given as :The total number of people went for the dinner = 7 The total bill price for the dinner = $ 109The price for the chicken dinner = $ 12The price for the steak dinner = $ 17Let The number of people who ordered chicken dinner = cAnd The number of people who ordered steak dinner = sNow, According to questionThe 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 = 7And 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 dinnerOr, $ 12 × c + $ 17 × s = $ 109Now, solving the equations$ 12 × ( c + s ) = $ 12 × 7Or, $ 12 × c + $ 12 × s = $ 84Or, ( $ 12 × c + $ 17 × s ) - ( $ 12 × c + $ 12 × s ) = $ 109 - $ 84Or , ( $ 12 × c - $ 12 × c ) + ( $ 17 × s - $ 12 × s ) = $ 25Or, ( 0 ) + ( $ 5 s ) = $ 25∴ s = [tex]\frac{25}{5}[/tex]I.e s = 5So, The number of people who ordered steak dinner = s = 5Put the value og s in Eq A∵, c + s = 7or, c = 7 - sOr, c = 7 - 5I.e c = 2So , The number of people who ordered chicken dinner = c = 2Hence The number of people who ordered steak dinner is 5And The number of people who ordered chicken dinner is 2 Answer