The students in three classes are in the rati | vedclass

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(C) Let the number of students in the three classes be $2x$,$3x$,and $5x$ respectively.According to the problem,when $20$ students are added to each c

Vedclass · Accepted Answer

$100$

Vedclass · Answer

(C) Let the number of students in the three classes be $2x$,$3x$,and $5x$ respectively.According to the problem,when $20$ students are added to each class,the new ratio becomes $4:5:7$.Taking the first two classes:$\frac{2x + 20}{3x + 20} = \frac{4}{5}$Cross-multiplying gives:$5(2x + 20) = 4(3x + 20)$$10x + 100 = 12x + 80$$100 - 80 = 12x - 10x$$20 = 2x$$x = 10$The total number of students before the increase is the sum of the initial ratios:Total $= 2x + 3x + 5x = 10x$Substituting $x = 10$:Total $= 10 	imes 10 = 100$.

The students in three classes are in the ratio $2:3:5$. If $20$ students are increased in each class,the ratio changes to $4:5:7$. The total number of students before the increase was:

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