Answer :
Answer:
1Let the percentage of students who got high scores in both mathematics and English be x
2The percentage of students who got high scores in mathematics is
75
%
−
75%−x
3The percentage of students who got high scores in English is
65
%
−
65%−x
4The percentage of students who did not get high scores in both subjects is
6
%
6%
5Set up the equation to find x :
(
75
%
−
)
+
(
65
%
−
)
+
+
6
%
=
100
%
(75%−x)+(65%−x)+x+6%=100%
6Solve for x :
75
%
+
65
%
+
6
%
−
−
+
=
100
%
75%+65%+6%−x−x+x=100%
146
%
−
=
100
%
146%−x=100%
=
146
%
−
100
%
x=146%−100%
=
46
%
x=46%
7Calculate the total number of students who got high score in either mathematics or English:
(
75
%
−
46
%
)
×
300
+
(
65
%
−
46
%
)
×
300
+
46
%
×
300
(75%−46%)×300+(65%−46%)×300+46%×300
=
29
%
×
300
+
19
%
×
300
+
46
%
×
300
=29%×300+19%×300+46%×300
=
87
+
57
+
138
=87+57+138
=
282
=282
8The total number of students who got high score either in mathematics or in English is 282
!!
“”
..
6% don't get high score in both, it means there are 94% students who have scored high.
i) 94=75+65-(no. of % of students who get high score in both)
94=140-x
x=46
ii) 100%=300 students
1% = 3 students
Now,
No. of students who get high score in either Maths or English = 94%×3
= 282 students
Thank You.