The student council is having a dinner fund-raiser. The cost to rent the banquet hall for an evening is $185. The cost per plate of food is $3.50. If the tickets to the dinner banquet are $17.50 per person, how many people must attend in order for the school to earn a profit?

Given

cost to rent the banquet hall for an evening is $185. The cost per plate of food is $3.50. If the tickets to the dinner banquet are $17.50 per person

find out people must attend in order for the school to earn a profit.

To proof

banquet hall cost = $185

cost per plate of food = $3.50

tickets to the dinner banquet = $17.50

let the number of people attend the dinner = x

the equation becomes

17.50x - (3.5x + 185) ≥ 0

now solving the above equation

17.50x - 3.5 x ≥ 185

14x ≥ 185

x ≥ 13.21

x ≥ 14 (approx)

To earn profit 14 people must attend the dinner.

Hence proved