Question

Max ran 24 laps around the track. Jack ran three-fourths as many laps as Max did. Write each ratio in simplest form.

Answer 1

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

Number of Laps ran by Jack on the track

`=24 * (3)/(4)\\\\=6 * 3\\\\=18 \text{lap}`

→1 lap =400 meter

24 lap =24 × 400=9,600 meter

18 lap=18 × 400=7,200 meter

`\rightarrow\frac{\text{Max}}{\text{Jack}}= (24)/(18)\\\\(M)/(J)=(4)/(3)`

Answer 2

we are given

Max ran 24 laps around the track

so,

`M=24`

now, we have

Jack ran three-fourths as many laps as Max did

so,

`J=(3)/(4)*M`

now, we can plug values

`J=(3)/(4)*24`

`J=18`

now, we can find ratios

`(M)/(J) =(24)/(18)`

now, we can simplify it

and we get

`(M)/(J) =(4)/(3)`..............Answer