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A taxi driver had 50 fares to and from the airport last Monday. The price for a ride to the airport is $10, and the price for a ride from airport is $5. The driver collected a total of $375 for the day.

Respuesta :

Answer:

Number of Fares to airport is 25 and number of fares from airport is 25.

Step-by-step explanation:

Given:

Total Number of fares =50

Let number of fares to airport be x.

Let number of fares from airport be y.

hence the equation can be framed as;

[tex]x+y=50 \ \ \ \ equation \ 1[/tex]

Also Given

Total Money Collected = $375

Cost to airport = $10

Cost from Airport = $5

Total Money Collect is equal to Cost to airport multiplied by number of Fares to airport plus Cost from airport multiplied by number of Fare from airport.

[tex]10x+5y=375[/tex]

Dividing by 5 on both side we get;

[tex]2x+y = 75 \ \ \ \ equation \ 2[/tex]

Now Subtracting equation 1 from 2 we get;

[tex](2x+y)-(x+y)=75-50\\2x+y-x-y=25\\x=25[/tex]

Substituting the value of x in equation 1 we get;

[tex]x+y=50\\25+y=50\\y=50-25\\y=25[/tex]

Hence Number of Fares to airport is 25 and number of fares from airport is 25.

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