math
posted by chris .
a group of friends shared the expenses of an automobile trip,which cost $40.if there had been 3 more people in the group.each would have $3 less.how many people were there in the group and how much did each pay?

math 
Reiny
let the number of people in the original group be n
then the cost/person = 40/n
new group = n+3
cost per person in new group = 40/n  3
but (40/n  3)(n + 3) = 40
expanding, multiplying each term by n and simplifying gave me
n^2 + 3n  40 = 0
(n+8)(n3) = 0
n = 8 or n = 5
(can't have negative number of people, so
n = 5
there were 5 people in the original group and each paid $8
Respond to this Question
Similar Questions

management
Think of a recently completed group project that you have been involved in. This project may have been a student project, a group project, or an extracurricular project. Briefly describe the situation and choose one of the following … 
statistics
a sample of 120 men and women randomly divided into 3 groups with 40 people per group. group 1 members varied their workouts. group 2 performed the same exercise at each workout. group 3 had no set schedule or regulations for their … 
math
A group of friends went to Mudville to watch the Mudville Sluggers play baseball. On the way to the game, three people rode in each car and seven took the train. On the way home, four people rode in each car and two people took the … 
Math
Given (a+2,a2)= a for all integers a, (6,2)= a) 3 b) 4 c) 5 d) 6 e) 8 The cost of a drivein movie is $y per vehicle. A group of friends in a van shared the admission cost by paying $0.40 each.If 6 more friends had gone along,everyone … 
Math
The admission ticket of an amusement park is $50 per head, and there is a 30% discount for a group of equal or over 30 people. What is the minimum size of a group that would rather buy the 30 people group tickets, as that is the cheaper … 
math
on school picnic,a group of students agree to pay equally for the use of a full boat and pay Rs.10 each.if there had been 3 more students in each group, each would have paid Rs.2 less.how many students were there in the group? 
Art
The picture is of colorful clogs. Through this collection, you can gain a better understanding of all of the following except. A. The history and traditions of a group of people. B. The diversity of a group of people during a specific … 
Math
A museum calculates the rate for groups using the equationC=4P+8,where P is the number of people and C is the total cost in dollars. If the cost for a group is $60, how many people are in the group? 
Math  help please
Problem: The rock group Loco Moco was scheduled for a concert at the Blaisdell Concert Hall. Because it was the concert highlight of the year, there was excitement in the air and people were eager to get tickets, which could only be … 
Math
A group of 45 people decide to rent a bus for a trip. They divide the cost equally. When five of the people decide not to go on the trip the rest of the people pay $10 more each. How much does the bus cost?