SOLUTION: 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 a

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?
***
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
RELATED QUESTIONS
you have 2 3/4 pizzas left over after a party. how many slices are left if each slice is... (answered by checkley79)
Steven�s circular birthday cake is cut into 36 equal slices. a) What is the measure (answered by Mathtut)
John and Ann are having a birthday party. John invited 14 people and will serve 3 cakes. (answered by checkley77)
A company that teaches self-improvement seminars is holding one of its seminars in... (answered by stanbon)
a birthday cake has 54 slices.there are 36 people at the party.how many slices of cake... (answered by Stitch)
If I am having a birthday party. I want to serve 2 people, 3 people, 6 people, or 7... (answered by richard1234)
Four pizzas are ordered for the children at a party. Each pizza is cut into 8 equal... (answered by mananth)
Your mom made 2 cakes for a dinner party. There are 18 people coming for dinner . How... (answered by rfer)
Hi,I need help on this question. I've tried to solve the problem but I keep getting... (answered by Theo)