A college charters a bus for $1404 to take a group of students to the Fiesta Bowl. When one more students join the trip, the cost per student decreases by $2.00. How many students were in the original group?
A)26
B)28
C)32
D)38
E)46

Question

Quizplus · Accepted Answer

Let x be the number of students in the original group. Then the cost per student is 1404/x. When one more student joins the trip, the cost per student decreases by $2.00, so the new cost per student is (1404/x) - 2.00. We can set up the equation:1404/x - 2.00 = 1404/(x+1)Solving for x, we get:x = 26Therefore, there were 26 students in the original group.

A College Charters a Bus for $1404 to Take a Group