2.75 cups were in the punch bowl before felicia refilled it .
<u>Step-by-step explanation:</u>
Here we have , the punch bowl at felicia's party is getting low so she adds 12 cups of punch to the bowl two guests serve themselves 1.25 cups and 2 cups and 2 cups of punch the punch bowl now contains 11.5 cups of punch . We need to find how many cups were in the punch bowl before felicia refilled it let n=number of cups bowl before felicia refilled it. Let's find out:
Initially we have , n number of cups of punch ! Than 12 additional cups were added , given below is the equation framed for the number of cups present:
⇒ ![n+12](https://tex.z-dn.net/?f=n%2B12)
Now , After this 1.25 and 2 cups were served by guests themselves and remaining cups were 11.5 i.e.
⇒ ![11.5+1.25+2](https://tex.z-dn.net/?f=11.5%2B1.25%2B2)
⇒ ![14.75](https://tex.z-dn.net/?f=14.75)
Equating both we get :
⇒ ![n+12=14.75](https://tex.z-dn.net/?f=n%2B12%3D14.75)
⇒ ![n=14.75-12](https://tex.z-dn.net/?f=n%3D14.75-12)
⇒ ![n=2.75](https://tex.z-dn.net/?f=n%3D2.75)
Therefore , 2.75 cups were in the punch bowl before felicia refilled it .