Post a New Question

Algebra

posted by on .

In a pet store there are 4 more cats than dogs and the ratio of cats to dogs is 12 to 9.What is the total number of cats and dogs in the pet store ?

  • Algebra - ,

    Remark:

    12 = 4 * 3

    9 = 3 * 3


    12 / 9 = 4 * 3 / ( 3 * 3 ) = 4 / 3

    ________________________________________



    C = number of cats

    D = numbers of dog


    C = D + 4


    C / D = 12 / 9

    C / D = 3 * 4 / ( 3 * 3 )

    C / D = 4 / 3


    ________________________________________

    In a pet store there are 4 more cats than dogs.

    That mean C = D + 4

    ________________________________________

    C / D = 4 / 3

    ( D + 4 ) / D = 4 / 3 Multiply both sides by 3

    3 ( D + 4 ) / D = 4 * 3 / 3

    ( 3 D + 12 ) / D = 4 Multiply both sides by D

    ( 3 D + 12 ) * D / D = 4 D

    3 D + 12 = 4 D Subtract 3 D to both sides

    3 D + 12 - 3 D = 4 D - D

    12 = D

    D = 12


    C = D + 4

    C = 12 + 4 = 16


    16 Cats and 12 dogs.


    The ratio of cats to dogs:

    C / D = 16 / 12 = 4 * 4 / ( 4 * 3 ) = 4 / 3

Answer This Question

First Name:
School Subject:
Answer:

Related Questions

More Related Questions

Post a New Question