Question

The cost of a season train ticket is reduced by $33.10 which corresponds to a 10%

reduction. Find the original cost of the season ticket.

Answer 1

Let X be the original cost of the season train ticket.
Then, we know that 10% of X is equal to $33.10.
We can write this as an equation:
0.1X = 33.10
To solve for X, we can divide both sides of the equation by 0.1:
X = 331.0
Therefore, the original cost of the season train ticket is $331.

Answer 2

Let's denote the original cost of the season train ticket as "x".

According to the given information, a reduction of $33.10 corresponds to a 10% reduction in the original cost. We can set up the following equation to represent this:

10% of x = $33.10

To solve for x, we need to convert 10% to decimal form, which is 0.10. We can rewrite the equation as:

0.10 * x = $33.10

Simplifying the equation, we have:

0.10x = $33.10

To isolate x, we divide both sides of the equation by 0.10:

x = $33.10 / 0.10

x = $331.00

Therefore, the original cost of the season train ticket is $331.00.

Explanation: