Question

A and B rent a pasture for 10 months; A puts in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?

• A. 120
• B. 180
• C. 200
• D. 280

Answer 1

The Correct Option is D

To solve the problem, let's first understand the concept of rent based on the number of cows and the time they stay on the pasture. This is known as "Cow-Months". The rent paid is proportional to the number of cow-months utilized.

Given:

• A rents 80 cows for 7 months.
• B's rent requirement is for 3 months.
• B pays half as much again (or 1.5 times) as A.

Step-by-step solution:

1. Calculate A's cow-months: \( 80 \text{ cows} \times 7 \text{ months} = 560 \text{ cow-months} \).
2. Since B pays "half as much again" as A, B pays for: \( 1.5 \times 560 = 840 \text{ cow-months} \).
3. To find the number of cows B can put in for the remaining 3 months, divide the total cow-months for B by the number of months: \( \frac{840 \text{ cow-months}}{3 \text{ months}} = 280 \text{ cows} \).

Therefore, B can put in 280 cows for the remaining 3 months.

Options	Value
Number of cows B can put	280