The fluid contained in a bucket can fill four large bottles or seven s

1.	The fluid contained in a bucket can fill four large bottles or seven small bottles. A full large bottle is used to fill an empty small bottle. What fraction of the fluid is left over in the large bottle when the small one is full ?(a) \(\frac27\) (b) \(\frac37\) (c) \(\frac47\) (d) \(\frac57\)
Answer» Let the capacity of the bucket be x litres. Then, Capacity of 1 large bottle = \(\frac{x}4\) Capacity of 1 small bottle = \(\frac{x}7\) Fluid left in large bottle = \(\frac{x}4\) - \(\frac{x}7\) = \(\frac{3x}{28}\) ∴ Required fraction = \(\frac{\frac{3x}{28}}{\frac{x}4} = \) \(\frac{3x}{28}\) x \(\frac4x\) = \(\frac37.\)

The fluid contained in a bucket can fill four large bottles or seven small bottles. A full large bottle is used to fill an empty small bottle. What fraction of the fluid is left over in the large bottle when the small one is full ?(a) \(\frac27\) (b) \(\frac37\) (c) \(\frac47\) (d) \(\frac57\)

Answer»

Let the capacity of the bucket be x litres. Then,

Capacity of 1 large bottle = \(\frac{x}4\)

Capacity of 1 small bottle = \(\frac{x}7\)

Fluid left in large bottle = \(\frac{x}4\) - \(\frac{x}7\) = \(\frac{3x}{28}\)

∴ Required fraction = \(\frac{\frac{3x}{28}}{\frac{x}4} = \) \(\frac{3x}{28}\) x \(\frac4x\) = \(\frac37.\)