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Two flight tickets from Paris to London and one ticket from Paris to Costa Rica costs $77. However, one ticket from Paris to London and two tickets from Paris to Costa Rica cost $73.What are the fares for cities London and Costa Rica from Paris?

Question

Two flight tickets from Paris to London and one ticket from Paris to Costa Rica costs 77.However,oneticketfromParistoLondonandtwoticketsfromParistoCostaRicacost77. However, one ticket from Paris to London and two tickets from Paris to Costa Rica cost 73.What are the fares for cities London and Costa Rica from Paris?

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Solution

Let's denote the cost of a ticket from Paris to London as L and the cost of a ticket from Paris to Costa Rica as C.

From the problem, we have two equations:

2L + C = 77 (equation 1) L + 2C = 73 (equation 2)

We can solve these equations simultaneously to find the values of L and C.

First, let's multiply equation 2 by 2:

2L + 4C = 146

Then, subtract equation 1 from this result:

2L + 4C - (2L + C) = 146 - 77 3C = 69

Divide by 3 to find the cost of a ticket from Paris to Costa Rica:

C = 69 / 3 = $23

Substitute C = 23 into equation 1 to find the cost of a ticket from Paris to London:

2L + 23 = 77 2L = 77 - 23 = 54 L = 54 / 2 = $27

So, the fare from Paris to London is 27andthefarefromParistoCostaRicais27 and the fare from Paris to Costa Rica is 23.

This problem has been solved

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