the number of customers waiting inside a restaurant was 2 less than a third of those waiting inside. if three customers were wai
ting inside how many were outside
1 answer:
Answer:
15 customers were outside
Step-by-step explanation:
Represent customers inside with x and customers outside with y.
So, we have:
--- First Statement
--- Second Statement
Required
Find y
Substitute 3 for x in ![x = \frac{1}{3}y - 2](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B1%7D%7B3%7Dy%20-%202)
![3 = \frac{1}{3}y - 2](https://tex.z-dn.net/?f=3%20%3D%20%5Cfrac%7B1%7D%7B3%7Dy%20-%202)
Add 2 to both sides
![2 + 3 = \frac{1}{3}y - 2 + 2](https://tex.z-dn.net/?f=2%20%2B%203%20%3D%20%5Cfrac%7B1%7D%7B3%7Dy%20-%202%20%2B%202)
![2 + 3 = \frac{1}{3}y](https://tex.z-dn.net/?f=2%20%2B%203%20%3D%20%5Cfrac%7B1%7D%7B3%7Dy)
![5= \frac{1}{3}y](https://tex.z-dn.net/?f=5%3D%20%5Cfrac%7B1%7D%7B3%7Dy)
Multiply both sides by 3
![3 * 5= \frac{1}{3}y *3](https://tex.z-dn.net/?f=3%20%2A%205%3D%20%5Cfrac%7B1%7D%7B3%7Dy%20%20%2A3)
![15 = y](https://tex.z-dn.net/?f=15%20%3D%20y)
![y = 15](https://tex.z-dn.net/?f=y%20%3D%2015)
<em>Hence; 15 customers were outside</em>
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