Mathematics

Question

For every 3 laps that Jackie swims, Ronnie swims 4 laps. During practice, they swam a combined total of 63 laps. How many laps did Ronnie swim during practice?

1 Answer

  • Answer:

    36 laps Ronnie swim during practice .

    Step-by-step explanation:

    Let us assume that the laps that Ronnie swims be x .

    Let us assume that the laps that Jackie swims be y .

    As given

    For every 3 laps that Jackie swims, Ronnie swims 4 laps.

    i.e

    3 × laps that Ronnie swims = 4 × laps that Jackie swims

    3 × x = 4 × y

    3x = 4y

    Equation becomes

    x + y  = 63

    Thus by using 3x = 4y .

    [tex]y = \frac{3x}{4}[/tex]

    Thus

    [tex]x +\frac{3x}{4} = 63[/tex]

    4x + 3x = 63 × 4

    7x = 252

    x = 36

    Put the value of x in the equation x + y  = 63

    36 + y = 63

    y = 63 - 36

    y = 27

    Therefore the 36 laps Ronnie swim during practice .

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