in a school, no of boys are 160 more than the girls. If there are 45% girls in the school find the number of girls in the school
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Answer:
72 girls are there 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
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