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The price of a train ticket consists of an initial fee of $5 plus a fee of $2.75 per stop. Julia has $21 and would like to travel 50 kilometers.

She wants to know the largest number of stops she can afford to buy on a ticket.

1 Answer

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Answer: Let's assume Julia can afford to buy "x" stops on her train ticket.

The total cost of the train ticket can be calculated as follows:

Total Cost = Initial Fee + (Fee per Stop × Number of Stops)

Given that the initial fee is $5 and the fee per stop is $2.75, the equation for the total cost of the ticket is:

Total Cost = 5 + 2.75x

Julia has $21, and she wants to spend this amount on the ticket. So, we can set up an equation:

Total Cost ≤ 21

Substitute the expression for the total cost:

5 + 2.75x ≤ 21

Now, solve for "x":

2.75x ≤ 21 - 5

2.75x ≤ 16

x ≤ 16 / 2.75

x ≤ 5.818181...

Since Julia cannot buy a fraction of a stop (she must buy a whole number of stops), she can afford to buy a maximum of 5 stops on her ticket.

If she buys 5 stops, the total cost will be:

Total Cost = 5 + 2.75 × 5 = 5 + 13.75 = $18.75

With $21, she can afford the ticket with 5 stops and will have $21 - $18.75 = $2.25 left.

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