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25 December, 17:53

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?

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Answers (2)
  1. 25 December, 18:42
    0
    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
  2. 25 December, 19:48
    0
    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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