The ratio of students in school A, B and C is | vedclass

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(B) Let the initial number of students in schools $A, B,$ and $C$ be $5x, 4x,$ and $7x$ respectively.After an increase of $20\%$ in school $A$,the new

Vedclass · Accepted Answer

$30: 25: 42$

Vedclass · Answer

(B) Let the initial number of students in schools $A, B,$ and $C$ be $5x, 4x,$ and $7x$ respectively.After an increase of $20\%$ in school $A$,the new number of students is $5x 	imes (1 + 0.20) = 5x 	imes 1.2 = 6x$.After an increase of $25\%$ in school $B$,the new number of students is $4x 	imes (1 + 0.25) = 4x 	imes 1.25 = 5x$.After an increase of $20\%$ in school $C$,the new number of students is $7x 	imes (1 + 0.20) = 7x 	imes 1.2 = 8.4x$.The new ratio is $6x : 5x : 8.4x$.To simplify,multiply by $5$ to remove the decimal: $6 	imes 5 : 5 	imes 5 : 8.4 	imes 5 = 30 : 25 : 42$.

The ratio of students in school $A, B$ and $C$ is $5: 4: 7$ respectively. If the number of students in schools are increased by $20\%$,$25\%$ and $20\%$ respectively,then what will be the new ratio of students in school $A, B$ and $C$?

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