SOLUTION: The ratio of dullards to scholars was 2 to 17. If there were 38,000 people at the university, how many were scholars?

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Question 1202549: The ratio of dullards to scholars was 2 to 17. If there were 38,000 people at the university, how many were scholars?
Found 3 solutions by josgarithmetic, ikleyn, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The 38000 students split into 2+17=19 equal parts.
How many is 17 of those equal parts?

%2817%2F19%29%2A38000

%2817%2F19%29%282%2A19%2A1000%29

17%2A2%2A1000

highlight%2834000%29




-----------------not this----------misread question------------
How many is 2 of those equal parts?

%282%2F19%29%2A38000

%282%2F19%29%282%2A19%2A1000%29

4%2A1000

cross%284000%29

Answer by ikleyn(52785) About Me  (Show Source):
You can put this solution on YOUR website!
.
The ratio of dullards to scholars was 2 to 17.
If there were 38,000 people at the university, how many were scholars?
~~~~~~~~~~~~~~~~~~


        The  " solution "  by @josgarithmetic,  giving the answer  " 4000 ",  is wrong. 


The number of scholars is  %2817%2F%282%2B17%29%29%2A38000 = %2817%2F19%29%2A38000 = 17*2000 = 34000.


ANSWER.  The number of scholars is 34000.

Solved.



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Given the ratio 2:17...

Let 2x = # of dullards
Let 17x = # of scholars

The total number of students was 38,000:

2x+17x = 38000
19x = 38000
x = 2000

ANSWER: The number of scholars was 17x = 17(2000) = 34,000