On a certain high school athletic team, the ratio of freshmen to sophomores to juniors to seniors is 1:3:4:6. If there are 60 juniors on the team, how many students in total are on the team?

Respuesta :

Answer:

There are 210 students in total

Step-by-step explanation:

On a certain high school athletic team, the ratio of freshmen to sophomores to juniors to seniors is 1:3:4:6.

The number of students as per the ratio is

freshman is 1x

sophomores is  3x

juniors is 4x

seniors is 6x

Given there are 60 juniors on the team

[tex]4x=60[/tex]

divide both sides by 4

x=15

The total number of students on the team is

[tex]1x+3x+4x+6x[/tex]

Substitute 15 for x

[tex]1(15)+3(15)+4(15)+6(15)=210[/tex]

There are 210 students in total