In a school , there are 250 girl and 700 boys . Find the ratio of the number of boys to the number of girl
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Let the Original number of boys and girls in the school be 7x and 15x respectively.
Number of boys +Number of girls = 770
⇒ 7x + 15x = 770
⇒ 22x = 770
⇒ x = 35
∴ Number of boys = 7x
= 7 × 35
= 245 boys.
Number of girls = 15x
= 15 × 35
= 525 girls.
Now, Let the number of boys admitted be y.
∴ New number of boys = 245 + y
According to the Question,
New Number of boys/Number of girls = 1/1
∴ (245 + y)/525 = 1/1
⇒ 245 + y = 525
⇒ y = 525 - 245
⇒ y = 280.
Hence, the number of boys admitted to make the ratio of the number of boys to number of girls 1 : 1 is 280.
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