in a certain school of 200 students ,the students can study french,spanish,,both or neither . Just as many study both as study neither .One quarter of those who study spanish also study french.The total number who atudy french is 10 fewer than those who study spanish only .what percent of student study french only
Answers
Given : in a certain school of 200 students ,the students can study french,spanish,,both or neither .
To find : what percent of student study french only
Step-by-step explanation:
Let say
Study Both & Study Neither = B
One quarter of those who study spanish also study french
=> one quarter of those who study spanish Study Both
=> Study Spanish= 4B
Study Spanish only = 4B - B = 3B
Study French = 3B - 10
Total Students = Study Spanish + Study French - Study Both + Study Neither
200 = 4B + 3B - 10 + B - B
=> 7B = 210
=> B = 30
French Only = French - Both = 3B - 10 - B
= 2B - 10
= 2(30) - 10
= 50
percent of student study french only = (50/200) * 100 = 25 %
25 % of student study french only
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Step-by-step explanation:
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