in a school, no.of boys are 160 more than rhe girls.if there are 45%girls in the school, find the no.of girls in school
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in a school, no.of boys are 160 more than rhe girls.if there are 45%girls in the school, find the no.of girls in school
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Let total number of student in school be x.
Number of girls = 45% of x
= 45/100 × x
Number of boys = 160 more than number of girls
= number of girls + 160
= 45x/100 + 160
Now, According to question,
⇒ 45x/100 + (45x/100 + 160) = x
⇒ 45x + 45x + 16000 = 100x
⇒ 16000 = 100x - 90x
⇒ 10x = 16000
⇒ x = 16000 / 10
⇒ x = 1600
Number of girls in school,
= 45% of x
= 45/100 × 16000
= 720
Answer:
Given :-
To Find :-
Solution :-
Let, the number of girls be x
And, the number of boys will be 160 + x
Then, the total number of students = 160 + 2x
According to the question,
⇒ 45/100(160 + 2x) = x
⇒ 7200 + 90x = 100x
⇒ 7200 = 100x - 90x
⇒ 7200 = 10x
⇒ 7200/10 = x
⇒ 720 = x
➠ x = 720
∴ The required number of girls are in school is 720 .