A and B share the cost of renting a pasture for 10 months. A grazes 80 cows for 7 months. How many cows can B graze during the remaining 3 months if B agrees to pay 1.5 times the amount A pays?

Explanation

A grazes 80 cows for 7 months, so the total cow-months for A is 80 × 7 = 560. Let the number of cows B grazes be x for 3 months, so B's total is 3x. Since B pays 1.5 times what A pays, their cost ratio is 1 : 1.5, which corresponds to their cow-month ratio multiplied by their payment rates. Setting up the equation: 560 : 3x = 1 : 1.5, solving for x gives x = 280.