SOLUTION: 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

Question 1131381: 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, how many people ordered each dinner?
Found 2 solutions by josmiceli, greenestamps:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number that ordered chicken dinner
= number that ordered steak dinner
--------------------------------------------------------

and

---------------------
1 ordered chicken dinner
5 ordered steak dinner
--------------------------------
check:

OK
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

A solution using formal algebra is of course valid; and it may be a requirement.

But if you only need to solve the problem by any method you want, use a little mental arithmetic and some logical reasoning.

If all 6 people had ordered the steak dinner, the total cost would have been $17*6 = $102; the actual total cost was $99, which is $3 less. Since a chicken dinner costs $3 less than a steak dinner, there must have been just one person who ordered chicken.

ANSWER: 1 chicken and 5 steak
RELATED QUESTIONS
your family goes to a restaurant for dinner.There are 6 people in your family.Some order... (answered by richard1234)
Your family of 6 went to a Italian restaurant for dinner. Everyone had a sub, either... (answered by stanbon)
Your family of 6 went to a Italian restaurant for dinner. Everyone had a sub, either... (answered by ReadingBoosters)
You and your family go to dinner at a local restaurant in Rexburg, Idaho and your online (answered by josmiceli)
In a fast-food restaurant, the ratio of people eating hamburgers to people eating chicken (answered by Fombitz)
A large family went to a restaurant for a buffet dinner the price of the dinner was $12... (answered by ikleyn)
Your company reached it sales goals for the year so you decide to buy dinner for your 45... (answered by josmiceli)
Your company reached it sales goals for the year so you decide to buy dinner for your 45... (answered by josgarithmetic)
Each year, the number of dishes the Smith family prepares for Thanksgiving dinner varies... (answered by stanbon)