Question

The bust ride to work cost $2.50 each time. She could buy a buy pass for a one-time fee of $15.00 and would then only pay $1.00 each time to ridethe bus. How many times would it take to ride the bus for the cost to be the same?

Answer 1

It would take 10 rides for the cost of riding the bus to be the same whether the person buys a bus pass or pays per ride each time.

Step-by-step explanation:

To determine how many times a person would need to ride the bus for the cost to be the same with either paying per ride or using a pass, let's create two equations to represent the total cost for each scenario:

• Without pass: Total cost = $2.50 × number of rides.
• With pass: Total cost = $15 + $1.00 × number of rides (after buying the pass).

To find the point where both costs are the same, we set the two equations equal to each other:

$2.50 × number of rides = $15 + $1.00 × number of rides

Now, solve for the number of rides:

1. Subtract $1.00 × number of rides from both sides:
2. $2.50 × number of rides - $1.00 × number of rides = $15
3. Combine like terms:
4. $1.50 × number of rides = $15
5. Divide by $1.50 on both sides to solve for the number of rides:
6. number of rides = $15 / $1.50
7. number of rides = 10

So, it would take 10 rides for the cost to be the same whether a person buys a bus pass or pays for each ride individually.