Question

In a farm, there are 20 animals and their food provision lasts for 8 days. After 2 days, 10 more animals join the farm. For how many days will provision last now?


The question is from Direct and Inverse Variation lesson class 8.​

Answer 1

Let the food will now last for x days. Then,

Number of animals 20 30

Number of days 6 x

Clearly, more is the number of animals, less will be the number of days for food to last.

So, it is a case inverse proportion.

∴ 20 × 6 = 30x ⇒ x = 20×6/30 = 4

Hence, the food will now last for 4 days.