how many job applicants had applied if the ratio of selected to unselected was 19 :17 . if 1200 less had applied and 800 less selected then the ratio of selected to unselected would have been 1:1
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7200 applicants applied.
Step-by-step explanation:
Let, number of selected applicants = 19x
number of unselected applicants = 17x
⇒ Total number of applicant applied = 19x + 17x = 36x
Now,
number of selected applicant = 19x - 800
Total number of applicant applied = 36x - 1200
⇒ number of unselected applicant = 36x - 1200 - ( 19x - 800 )
= 36 - 19x - 1200 + 800 = 17x - 400
According to the question,
19x - 800 = 17x - 400
19x - 17x = 800 - 400
2x = 400
x = 200
Total Number of Applicant who applied = 36x = 36 × 200 = 7200
Therefore, 7200 applicants applied.
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