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?
$\frac{2}{7}$
$\frac{3}{7}$
$\frac{4}{7}$
$\frac{5}{7}$

Question

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?
$\frac{2}{7}$
$\frac{3}{7}$
$\frac{4}{7}$
$\frac{5}{7}$

Toppr Admin · Accepted Answer

Let the capacity of the bucket be x litres- Then-Capacity of 1 large bottle -x4Capacity of 1 small bottle -x7Fluid left in large bottle -x4-x2212-x7-3x28-x2234- Required fraction -3x-28x-4-3x28-xD7-4x-37

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?27374757

Let the capacity of the bucket be x litres. Then,Capacity of 1 large bottle =x4Capacity of 1 small bottle =x7Fluid left in large bottle =x4−x7=3x28∴ Required fraction =3x/28x/4=3x28×4x=37

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?
$\frac{2}{7}$
$\frac{3}{7}$
$\frac{4}{7}$
$\frac{5}{7}$