Hi, I'm confused about how to write a system of equations to model this word problem
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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:
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Now , After this 1.25 and 2 cups were served by guests themselves and remaining cups were 11.5 i.e.
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Equating both we get :
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Therefore , 2.75 cups were in the punch bowl before felicia refilled it .