6% of the soldiers of an army were killed in a war.If 282 soldiers are

1.	6% of the soldiers of an army were killed in a war.If 282 soldiers are alive still now, find the number ofsoldiers killed in the war.
Answer» Given: 6% of soldiers of an army were killed in a war. 282 soldiers are still ALIVE. To FIND: How many soldiers were killed in the war? Process: To find the number of soldiers died in the war, we will let the total number of soldiers be x. Then, number of soldiers died = (6% of x). After that we can FORM an equation as follows: x - (6% of x) = 282 After solving the equation and finding the value of x, we can subtract number of soldiers alive from total number of soldiers to get the number of soldiers died in the war. Solution: Let the total number of soldiers be x. Then, number of soldiers died = 6% of x THEREFORE, $\because \:\mathtt{x - (6\%\: of\: x) = 282}$ $\implies \mathtt{x - \bigg(\dfrac{6}{100}\times x\bigg)= 282}$ $\implies \mathtt{x - \dfrac{6x}{100} = 282}$ $\implies \mathtt{\dfrac{100x-6x}{100} = 282}$ $\implies \mathtt{\dfrac{94x}{100} = 282}$ $\implies \mathtt{94x = 282\times100}$ $\implies \mathtt{94x = 28200}$ $\implies \mathtt{x = \dfrac{28200}{94}}$ $\implies \mathtt{x = 300}$ Hence, total number of soldiers is 300. Soldiers died in the war = (Total number of soldiers) - (Number of soldiers alive) = (300 - 282) = 18 Hence, 18 soldiers died in the war.

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

Answer»

Given:

6% of soldiers of an army were killed in a war.
282 soldiers are still ALIVE.

To FIND:

How many soldiers were killed in the war?

Process:

To find the number of soldiers died in the war, we will let the total number of soldiers be x. Then, number of soldiers died = (6% of x). After that we can FORM an equation as follows:

x - (6% of x) = 282

After solving the equation and finding the value of x, we can subtract number of soldiers alive from total number of soldiers to get the number of soldiers died in the war.