# A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle?

**Solution:**

Let the number of animals be x and the number of days be y

If the number of animals increases the number of days they can be fed will decrease, so they are in inverse proportion.

Two numbers x and y are said to be in inverse proportion when an increase in one quantity decreases the other quantity and vice versa.

xy = k or x = (1/y) k

where k is a constant.

Hence, x₁y₁ = x₂y₂

20 × 6 = 30 × y₂

y₂ = (20 × 6)/30

y₂ = 4

Thus, the food will last for 4 days.

**☛ Check: **NCERT Solutions for Class 8 Maths Chapter 13

**Video Solution:**

## A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle?

NCERT Solutions Class 8 Maths Chapter 13 Exercise 13.2 Question 5

**Summary:**

A farmer has enough food to feed 20 animals in his cattle for 6 days. The food would last for 4 days if there were 10 more animals in his cattle.

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