Mathematics

Question

A bag contains white marbles and yellow marbles, 54 in total. The number of white marbles is 6 less than 3 times the number of yellow marbles. How many white marbles are there?

2 Answer

  • let x be white marbles, y be yellow marbles
    x+y=54…(1)
    x=3y - 6 …(2)

    put (2) into (1)
    (3y - 6) + y = 54
    4y = 60
    y=15

    put y=15 into (1)

    x + 15=54
    x=39

    so y=15 x=39
  • Answer:

    The number of white marbles 'x' is 39

    Step-by-step explanation:

    Given :

    A bag contains white marbles and yellow marbles, 54 in total.

    The number of white marbles is 6 less than 3 times the number of    yellow marbles.

    To Find : Number of White marbles

    Solution :

    Let number of white marbles be x

    Let number of yellow marbles be y

    Since we are given that there are 54 marbles in total.

    ⇒ x + y = 54 ---(A)

    We are also given that the number of white marbles is 6 less than 3 times the number of yellow marbles.

    ⇒ x = 3y - 6  ---(B)

    Solving A and B using substitution method

    Put value of x from (B) in (A)

    ⇒3y - 6 + y = 54

    ⇒4y - 6 = 54

    ⇒4y = 54+6

    ⇒4y = 60

    ⇒y = 60/4

    ⇒y = 15

    Thus , number of yellow marbles 'y' is 15

    To find number of white marbles put value of y in (B)

    ⇒ x = 3*(15) - 6  

    ⇒x = 45 - 6

    ⇒x = 39

    Thus , The number of white marbles 'x' is 39

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