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

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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?

A. 90
B. 140
C. 150
D. 180
E. 210

The OA is E

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BTGmoderatorLU wrote:
Wed Oct 21, 2020 4:26 am
Source: Magoosh

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?

A. 90
B. 140
C. 150
D. 180
E. 210

The OA is E
Solution:

The entire ratio can be expressed as: 1x + 3x + 4x + 6x = total. For the juniors, we can create the equation:

4x = 60

x = 15

So there are 1x + 3x + 4x + 6x = 14x = 14(15) = 210 students on the team

Answer: E

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