Question 972895: At her birthday party, Sam is serving a slice of cake to each attendee. If each attendee receives 2 slices, there will be 20 slices left. If 5 attendees do not receive any slices and the rest receive 5 slices each, there will be no cake left. How many attendees were at the party?
Found 2 solutions by reviewermath, lwsshak3:
Answer by reviewermath(1029)   (Show Source):
You can put this solution on YOUR website! At her birthday party, Sam is serving a slice of cake to each attendee. If each attendee receives 2 slices, there will be 20 slices left. If 5 attendees do not receive any slices and the rest receive 5 slices each, there will be no cake left. How many attendees were at the party?
Let x = number of attendees
Therefore, 2x + 20 = number of slices
5(x - 5) = 2x + 20
5x - 25 = 2x + 20
3x = 45
x = 15
2x + 20 = 50 slices
Answer:  attendees
Answer by lwsshak3(11628)  (Show Source):
You can put this solution on YOUR website! At her birthday party, Sam is serving a slice of cake to each attendee. If each attendee receives 2 slices, there will be 20 slices left. If 5 attendees do not receive any slices and the rest receive 5 slices each, there will be no cake left. How many attendees were at the party?
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let x=number of attendees were at the party
2x+20= (each attendee receives 2 slices+ 20 slices left=total cake)
(x-5)*5=(5 attendees do not receive any slices and the rest receive 5 slices each=total cake)
2x+20=(x-5)*5
2x+20=5x-25
3x=45
x=15
How many attendees were at the party? 15
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