Before a war,the ratio of tanks to planes in | vedclass

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Question

(A) Let the initial number of tanks be $5x$ and the number of planes be $3x$.According to the problem,after the destruction of $1000$ tanks and $800$

Vedclass · Accepted Answer

$2000$

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(A) Let the initial number of tanks be $5x$ and the number of planes be $3x$.According to the problem,after the destruction of $1000$ tanks and $800$ planes,the ratio becomes $2:1$.So,$\frac{5x - 1000}{3x - 800} = \frac{2}{1}$.Cross-multiplying,we get: $5x - 1000 = 2(3x - 800)$.$5x - 1000 = 6x - 1600$.Rearranging the terms: $1600 - 1000 = 6x - 5x$.$x = 600$.The number of tanks after the war is $5x - 1000 = 5(600) - 1000 = 3000 - 1000 = 2000$.

Before a war,the ratio of tanks to planes in an army was $5:3$. During the war,$1000$ tanks were destroyed and $800$ planes were destroyed. The ratio of tanks to planes became $2:1$. What is the number of tanks after the war?

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