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?

Respuesta :

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 .