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An airline flies from manila to davao with a stopover in cebu. it charges a fare of 1,800 pesos manila to cebu and a fare of 3,500 pesosfrom manila to davao. in one flight a total of 180 passengers boarded the plane in manila and the collected fare totalled 494,000 pesos. how many passengers got off the plane in cebu? ​

Answers

  • Réponse publiée par: candace08

    274 passengers

    494,000 divide it into 1,800= 274

  • Réponse publiée par: calmaaprilgrace
    80 passengers got off the plane in Cebu.

    Step-by-step explanation:

    Passengers:

    To Cebu: x

    To Davao: y

    Total passengers: 180

    Equation (1):

    x + y = 180

    y = 180 - x  (passengers to Davao in terms of x)

    Total fare:

    Manila to Cebu: 1,800x

    Manila to Davao: 3,500y

    Total passenger fare for both destinations:  494,000

    Equation (2):

    1,800x + 3,500y = 494,000

    Substitute 180-x to y in Equation (2):

    1,800x + 3,500y = 494,000

    1,800x + 3,500(180-x) = 494,000

    Find the number of passengers to Cebu, x:

    1,800x -3,500x + 630,000 = 494,000

    -1700x = 494,000 - 630,000

    -1700x/-1,700 = -136,000/-1700

    x = 80 passengers to Cebu

    Number of passengers to Davao, y:

    y = 180-x

    y = 180 - 80

    y = 100 passengers to Davao

    Total passenger fare for each destination:

    Manila to Cebu:

    1,800x = 1,800(80) = 144,000 pesos

    Manila to Davao:

    3,500y = 3,500(100) = 350,000 pesos

    Check:

    Total passengers:

    80 + 100 = 180

    180 = 180  (True)

    Total fare:

    144,000 + 350,000 = 494,000

    494,000 = 494,000 (True)

    #ANSWERFORTREES

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An airline flies from manila to davao with a stopover in cebu. it charges a fare of 1,800 pesos mani...