The cost of renting a bus to go snowboarding was split evenly by the 20 students planning to go. The day before the trip, 10 more students decided to go. Dividing the cost evenly among all 30 students brought the average cost down by $9.00 per person. What was the total cost of renting the bus?
Cost/30 + 9 = Cost/20
multipy both sides by 600
20 Cost+5400=30Cost
Cost= 540 dollars check that.
what is the answer to pow4
To find the total cost of renting the bus, we need to determine the original cost and the additional cost due to the 10 additional students.
Let's start by finding the original cost of renting the bus. Suppose the original cost was C dollars.
Initially, there were 20 students planning to go, so each student would pay C/20 dollars.
When the 10 additional students decided to go, the total number of students became 30.
Now, let's calculate the average cost per person after the addition of the 10 students. We know that the average cost decreased by $9.00 per person.
Initially, the average cost per person was C/20 dollars. After the 10 students joined, the new average cost became C/30 dollars.
The difference between the original average cost and the new average cost is $9.00 per person:
C/20 - C/30 = $9.00
To simplify this equation, we can find a common denominator:
(3C - 2C) / (20 * 30) = $9.00
C/60 = $9.00
To isolate C and solve for it, we can multiply both sides of the equation by 60:
C = $9.00 * 60
C = $540.00
Therefore, the total cost of renting the bus is $540.00.