Question

6% of the soldiers of an army were killed in a war. If 282 soldiers are alive still now, find the number of soldiers killed in the war​

Answer 1

Step-by-step explanation:

110

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Answer 2

Step-by-step explanation:

Question :-

6% of the soldiers of an army were killed in a war. If 282 soldiers are alive still now, find the number of soldiers killed in the war.

Answer :-

Given :

• Soldiers killed in a war = 6% of the total soldiers
• Number of soldiers who were alive = 282

To find :

• Number of soldiers killed in a war

Solution :

Let's take the total number of soldiers be x

According to question,

${\bf{⟼ \: \: \: \: \: x \: - \: (6\% \: of \: x) \: = \: 282}}$

${\bf{⟼ \: \: \: \: \: x \: - \: \: \: \frac{6}{100} \: × \: x \: = \: 282}}$

${\bf{⟼ \: \: \: \: \: x \: - \: \frac{6x}{100} \: = \: 282}}$

${\bf{⟼ \: \: \: \: \: \frac{100x \: - \: 6x}{100} \: = \: 282}}$

${\bf{⟼ \: \: \: \: \: \frac{94x}{100} \: = \: 282}}$

${\bf{⟼ \: \: \: \: \: 94x \: = \: 282 \: × \: 100}}$

${\bf{⟼ \: \: \: \: \: 94x \: = \: 28200}}$

${\bf{⟼ \: \: \: \: \: x \: = \: \frac{28200}{94}}}$

${\bf{⟼ \: \: \: \: \: x \: = \: 300}}$

Thus, total number of soldiers is 300

➨ To find number of soldiers that were killed in the war we have to subtract total number alive of soldiers from total number of soldiers

➨ 300 - 282

➨ 18

Hence, 18 soldiers were killed in the war