Question

The junior class is planning a field trip to Six Flags. The cost of three busses will be $700, to be shared equally by all students attending the field trip. Because of the size of the bus, the maximum amount of students that can go on the trip is 105. Six Flags tickets cost $50 but Six Flags will reduce the ticket price by $0.50 times the number of people in the group. How many students must go on the field trip for the cost to be less than $25. To get full credit you must show your inequality and the work that leads to your solution.

Answer 1

Answer:Greater than 70

Explanation:

Given

Cost of three buses is $ 700

maximum no of students in group is 105

Six flag ticket cost $ 50 but will reduce the tickets cost by $ 0.50

Total cost should be less than 25 for each student

let x be the no of students thus

cost for ticket is
`=50x-0.5x`

Bus cost
`=(700)/(x)`

Total cost
`=(700)/(x)+50-0.5x`

total cost must be less than $ 25

`(700)/(x)+50-0.5x<25`

`(x+20)(x-70)>0`

thus x should be greater than 70 in order to cost to be less than $ 25