Question

A large vassel is full of oil.A smaller vassel can contain 2/25 if the amount of oil contained in the larger vassel .oil is taken out from the larger vessel ten times by filling the smaller vessel.what fraction of oil is left in the larger vessel?

Answer 1

Given:

The capacity of the smaller vessel is $\frac{2}{25} th$ of the large vessel

The smaller vessel was used 10 times to take out some of the oil from the large vessel

To find:

The fraction of oil left in the large vessel

Solution:

Let "x" be the capacity of the large vessel.

So, the capacity of the smaller vessel will be $\frac{2x}{25}$

Since by filling the smaller vessel 10 times, the oil from the large vessel was taken out

∴ The fraction of oil taken out from the large vessel = $10 * \frac{2x}{25} = 2 * \frac{2x}{5} = \frac{4x}{5}$

Now,

The fraction of oil left in the large vessel after the oil from it was taken out by using the smaller vessel 10 times is,

$= x - \frac{4x}{5} \\\\\\= \frac{5x\:-\:4x}{5}\\ \\\\= \frac{x}{5} \\\\\\= x * \frac{1}{5}$

Thus, the fraction of oil left in the large vessel is $\frac{1}{5}$.

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Answer 2

Answer:

1 upon 5

Step-by-step explanation:

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