Need help setting up an inequality

[RHSLilSweetie07]

A riverboat theater offers bus tours to groups on the following basis. Hiring the bus costs the group 360 (in dollars), to be shared equally by the group members. Theater tickets, normally 30 each, are discounted by .25 times the number of people in the group. How many members must be in the group so that the cost of the theater tour (bus fare plus theater ticket) is less than 39 per person?

I set up the following inequality:

(30x - .25x) + (360 / x) < 39x

Did I set it up right?

 

[tkhunny]

A riverboat theater offers bus tours to groups on the following basis. Hiring the bus costs the group 360 (in dollars), to be shared equally by the group members. Theater tickets, normally 30 each, are discounted by .25 times the number of people in the group. How many members must be in the group so that the cost of the theater tour (bus fare plus theater ticket) is less than 39 per person?

I set up the following inequality:

(30x - .25x) + (360 / x) < 39x

Did I set it up right?

I think you have demonstrated the danger of omitting the the units. That would have made you look a little more closely at the first set of parentheses.

30*x is a total price
0.25*x is a unit price reduction
360/x is a unit price
39x is a total price

Unit Price Only

(30 - .25x) + (360 / x) < 39