B is the answer due to when finding the solution you have to equalize the problems and solve.
Answer:
- 80 restaurant purchased meals are eaten in a restaurant
- 31 meals are eaten in a car
- 60 meals are eaten at home
Step-by-step explanation:
Let us suppose r be the total number of meals eaten in a restaurant
Let us suppose c be the total number of meals eaten in a car
Let us suppose h be the total number of meals eaten in a home
- The total number of meals eaten in a restaurant, in a car or at home is given as 163. Hence,
![r + c + h = 171.....[A]](https://tex.z-dn.net/?f=r%20%2B%20c%20%2B%20h%20%3D%20171.....%5BA%5D)
- The total number meals eaten in a car or at home exceeds the number eaten in a restaurant by 11. Hence,
![c + h = r + 11.....[B]](https://tex.z-dn.net/?f=c%20%2B%20h%20%3D%20r%20%2B%2011.....%5BB%5D)
- Twenty more restaurant-purchased meals will be eaten in a restaurant than at home. Hence,
![r = h + 20.....[C]](https://tex.z-dn.net/?f=r%20%3D%20h%20%2B%2020.....%5BC%5D)
Substituting Equation [B] into [A],
![r + c + h = 171.....[A]](https://tex.z-dn.net/?f=r%20%2B%20c%20%2B%20h%20%3D%20171.....%5BA%5D)




Putting
in ![r = h + 20.....[C]](https://tex.z-dn.net/?f=r%20%3D%20h%20%2B%2020.....%5BC%5D)


Putting
and
in ![r + c + h = 171.....[A]](https://tex.z-dn.net/?f=r%20%2B%20c%20%2B%20h%20%3D%20171.....%5BA%5D)



Therefore,
- 80 restaurant purchased meals are eaten in a restaurant
- 31 meals are eaten in a car
- 60 meals are eaten at home
Verification:

Putting
,
and
in 


<em>Keywords: number, equation</em>
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Answer:
1st. Common Difference of 3
2nd. Not Arithmetic
3rd. Not Arithmetic
Step-by-step explanation:
The 1st one, you can add to get the next number, but the other ones you have to multiply.