A bus left the bus station with 90% of the seats full. After six stops, a total of 26 passengers got of the bus and 4 passengers boarded the bus. Now, 35% of the seats are full, How many seats are there on the bus ?
35%*2= 70%= 2*22=44 seats.
.9x-22 = .35x
x = 40
check:
90% of 40 = 36
26 off, 4 on = 22 less, so we have 14 left
14 is 35% of 40
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To find the total number of seats on the bus, let's break down the information step by step:
1. The bus initially leaves the station with 90% of the seats full. This means that it has 90% + 10% = 100% total seating capacity.
2. After six stops, 26 passengers got off the bus and 4 passengers boarded. This means that the number of passengers on the bus changed by -26 + 4 = -22.
3. The percentage of seats filled after these changes is now 35%.
Using these details, we can now calculate the total number of seats on the bus:
1. Let's assume the total number of seats on the bus is "x."
2. Initially, the bus had 90% of the seats full, which means there were 0.9 * x passengers on the bus.
3. After the changes at the stops, the number of passengers on the bus is (0.9 * x) + (-22) = 0.9x - 22.
4. We know that after these changes, 35% of the seats are full, which is equal to 0.35 * x.
5. Setting up an equation based on this information, we have 0.9x - 22 = 0.35x.
6. By solving this equation, we find x = 44.
Therefore, the total number of seats on the bus is 44.