Question

If 240 litres of milk containing 8% fat is mixed with 160 litres of milk containing 15% fat, what will be the percentage of fat in mixture?​

Answer 1

Answer:

8=240 ×15=562 ÷240 =58924

Answer 2

Given:

1) 240 litres of milk containing 8% fat.

2) 160 litres of milk containing 15% fat.

To Find:

Percentage of fat in the mixture.

Solution:

1) 240 litres of milk containing 8% fat.

= 240 × $\frac{8}{100}$

= 240 × $\frac{2}{25}$

= $\frac{480}{25}$

= $\frac{96}{5}$

∴ 19.2 litres of fat is present in 240 litres of milk.

2) 160 litre milk containing 15% fat.

= 160 × $\frac{15}{100}$

= 2 × $\frac{15}{5}$

= $\frac{30}{5}$

= 6

∴ 6 litres of fat is present in 160 litres of milk.

Mixing both the milk :

= 240 + 160

= 400 litres

Fat present in 400 L of milk is :

= $\frac{96}{5}$ + 5/1

= $\frac{96 + 25}{5}$

= $\frac{121}{5}$

Percentage of fat in mixed milk :

=  $\frac{121}{5}$ × $\frac{1}{4}$

= $\frac{121}{20}$

= 6.05 %

∴ 6.05% of fat is present in the mixture.