Question

A coffee container is 3/5full of beans. These beans are then put into another container having volume thrice of the first one. What fraction of the large box is filled with beans.

Answer 1

Answer:  One-fifth of the large box is filled with beans.

Step-by-step explanation:  Given that a coffee container is $\dfrac{3}{5}$ full of beans. These beans are then put into another container having volume thrice of the first one.

We are to find the fraction of the large box that is filled with beans.

Since the volume of the large box is thrice of the first one, so the volume of the first box will be one-third of the volume of the large box.

According to the given information, we have

the fraction of the first box hat is filled with beans is $\dfrac{3}[5}.$

Therefore, the fraction of the large box that is filled with beans is given by

$\dfrac{1}{3}\times\dfrac{3}{5}=\dfrac{1}{5}.$

Thus, one-fifth of the large box is filled with beans.