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Math Problem

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latilatilas
 
Reply Tue 26 Oct, 2004 05:09 pm
I think i know the answer, but i dont get it.... show your work plz

The average age of a group of teachers and students is 20. The average age of the teachers is 35, and the average age of students is 15. What is the ratio of teachers to students? Express your answer as a common fraction.

i think it is 3/7, but my bro did the work, and it was flipped, so im sure that it was right... lol Smile
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Type: Discussion • Score: 1 • Views: 756 • Replies: 7
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satt fs
 
  1  
Reply Tue 26 Oct, 2004 05:57 pm
Let r be the ratio of the number of teachers and that of students, then,

20 = (35r + 15)/(r + 1) (figure this)

and hence,

r = 7/3.
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latilatilas
 
  1  
Reply Tue 26 Oct, 2004 06:09 pm
that's what my bro said, but shoudln't there be more students than teachers??
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OCCOM BILL
 
  1  
Reply Tue 26 Oct, 2004 06:35 pm
I don't think so. 1/4 of that group is teachers, so the ratio is 3/1.
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OCCOM BILL
 
  1  
Reply Tue 26 Oct, 2004 06:45 pm
Damn it... that's students to teachers, teachers to students is reversed: 1/3

Final answer 1/3.
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markr
 
  1  
Reply Tue 26 Oct, 2004 06:55 pm
(35T + 15S) / (T + S) = 20
35T + 15S = 20T + 20S
15T = 5S
T/S = 5/15 = 1/3
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satt fs
 
  1  
Reply Tue 26 Oct, 2004 07:12 pm
:wink: 1/3 is correct.
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latilatilas
 
  1  
Reply Tue 26 Oct, 2004 07:20 pm
thx guyz lol Smile
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