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?
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: {{{highlight(15)}}} attendees