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On a certain high school athletic team, the ratio of freshmen to sopho

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On a certain high school athletic team, the ratio of freshmen to sopho  [#permalink]

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New post 23 Oct 2018, 21:07
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A
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E

Difficulty:

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Question Stats:

95% (00:49) correct 5% (00:51) wrong based on 44 sessions

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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

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Re: On a certain high school athletic team, the ratio of freshmen to sopho  [#permalink]

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New post 23 Oct 2018, 22:07
Bunuel wrote:
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



f:so:j:s = 1:3:4:6
4x=j=60
x=15
total = 15 + 45 + 60 + 90 = 210
E
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Re: On a certain high school athletic team, the ratio of freshmen to sopho  [#permalink]

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New post 23 Oct 2018, 22:17
Bunuel wrote:
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


\(\frac{60}{4}*14 = 210\), Answer must be (E)
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Re: On a certain high school athletic team, the ratio of freshmen to sopho  [#permalink]

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New post 24 Oct 2018, 02:39

Solution


Given:
    • The ratio of freshmen to sophomores to juniors to seniors in the athletic team = 1: 3: 4: 6
    • Number of juniors in the team = 60

To find:
    • The total number of students in the team

Approach and Working:
    • Let us assume that 14x as the total number of students in the team (Since, 1 + 3 + 4 + 6 = 14)
    • Thus, number of juniors = 4x = 60
      o Implies, x = 15
    • Therefore, total number of students in the team = 14 * 15 = 210

Hence the correct answer is Option E

Answer: E
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Re: On a certain high school athletic team, the ratio of freshmen to sopho  [#permalink]

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New post 28 Oct 2018, 17:21
Bunuel wrote:
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 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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Re: On a certain high school athletic team, the ratio of freshmen to sopho &nbs [#permalink] 28 Oct 2018, 17:21
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