Respuesta :

we are given

Max ran 24 laps around the track

so,

[tex]M=24[/tex]

now, we have

Jack ran three-fourths as many laps as Max did

so,

[tex]J=\frac{3}{4}*M[/tex]

now, we can plug values

[tex]J=\frac{3}{4}*24[/tex]

[tex]J=18[/tex]

now, we can find ratios

[tex]\frac{M}{J} =\frac{24}{18}[/tex]

now, we can simplify it

and we get

[tex]\frac{M}{J} =\frac{4}{3}[/tex]..............Answer

Number of Laps ran by Max on the track =24 laps

Number of Laps ran by Jack on the track

                            [tex]=24 \times \frac{3}{4}\\\\=6 \times 3\\\\=18 \text{lap}[/tex]        

1 lap =400 meter

24 lap =24 × 400=9,600 meter

18 lap=18 × 400=7,200 meter

[tex]\rightarrow\frac{\text{Max}}{\text{Jack}}= \frac{24}{18}\\\\\frac{M}{J}=\frac{4}{3}[/tex]