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 $17. If the total bill was $99, how many people ordered each dinner?
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Step-by-step explanation:
Given
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 $17. If the total bill was $99, how many people ordered each dinner?
- Let a be the family that ordered chicken and b be family that ordered steak.
- So we get the equations as
- So a + b = 6
- And 14 a + 17 b = 99
- Multiplying the first equation by 14 we get
- 14 a + 14 b = 84
- 14 a + 17 b = 99
- Subtracting and Solving these two equations we get
- -3b = - 15
- Or b = 5
- So a + 5 = 6
- So a = 6 – 5
- Or a = 1
So one person ordered chicken and 5 people ordered steak.
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