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in a high school the ratio of make to female is 8:5, when 400 senior males are removed and 300 senior females are removed, the ratio is 8:3. the number of students in the whole school is ???
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Nov 6, 2018
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in a high school the ratio of make to female is 8:5, when 400 senior males are removed and 300 senior females are removed, the ratio is 8:3. the number of students in the whole school is ???
Mathematics
high-school
Fafchook
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Male to female is 8:5
So
Let's make male = 8x
female = 5x
8x-400/5x-300=8/3
The 8/3 is because that is what the ratio was after some of the students left
multiply by 5x-300 on both sides
8x-400=(5x-300)*(8/3)
multiply by 3 on both sides to remove the denominator
(8x-400)*3=(5x-300)*8
24x-1200=40x-2400
+2400 +2400
24x+1200=40x
-24x -24x
1200=16x
divide by 16
1200/16=16x/16
75=x
Now to find total we do 8x+5x we said male were 8x and female were 5x
8(75)+5(75)
600+375=975 total students
Nahom Tijnam
answered
Nov 12, 2018
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Nahom Tijnam
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