SOLUTION: A church group is planning a dance in the school auditorium to raise money for its school. The band they will hire charges $400 the advertising costs are estimated at $160 and food
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Question 1126472: A church group is planning a dance in the school auditorium to raise money for its school. The band they will hire charges $400 the advertising costs are estimated at $160 and food will be supplied at the rate of $5 per person. The church group would like to clear at least $2080 after expenses.
(a) Determine how many people need to attend the dance for the group to break even if tickets are sold at $13 each.
(b) Determine how many people need to attend in order to achieve the desired profit if tickets are sold for $13 each.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A church group is planning a dance in the school auditorium to raise money for its school.
The band they will hire charges $400 the advertising costs are estimated at $160 and food will be supplied at the rate of $5 per person.
The church group would like to clear at least $2080 after expenses.
:
(a) Determine how many people need to attend the dance for the group to break even if tickets are sold at $13 each.
Total cost: 5x + 400 + 160 = (5x+560)
13x = 5x + 560
13x - 5x = 560
8x = 560
x = 560/8
x = 70 people to break even
:
(b) Determine how many people need to attend in order to achieve the desired profit if tickets are sold for $13 each.
13x - (5x+560) = 2080
13x - 5x - 560 = 2080
8x = 2080 + 560
8x = 2640
x = 2640/8
x = 330 people to make $2080
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