Question

Your family goes to a Southern-style restaurant for dinner. There are 7 people in your family. Some order the chicken dinner for $13 and some order the steak dinner for $18. The total bill was $111. A) How many people ordered steak dinner? 019 (part 2 of 2) 10.0 points b) How many people ordered chicken dinner?

Answer 1

a) 4 people ordered streak dinner

b) 3 people ordered chicken dinner

Explanation:

Let the number of people that ordered steak dinner be x

and the number of people that ordered chicken dinner be y

From the question,

There are 7 people in your family

Hence, we can write that

x + y = 7 ...... (1)

Also from the question

Some order the chicken dinner for $13 and some order the steak dinner for $18 and the total bill was $111.

We can then write that

13y + 18x = 111 ...... (2)

From equation (1)

x + y = 7

Then,

x = 7 - y ...... (3)

Put this into equation (2)

13y + 18x = 111

13y + 18(7 - y) = 111

13y + 126 - 18y = 111

-5y = -15

5y = 15

y = 15 / 5

y = 3

Put the value of y into equation (3) to get x

x = 7 - y

Then

x = 7 - 3

x = 4

Hence, 4 people ordered streak dinner

and 3 people ordered chicken dinner

a) 4 people ordered streak dinner

b) 3 people ordered chicken dinner