# Man bought some turkeys and later sold some of them. Find total number of turkeys

A man bought a number of turkeys at a cost of $60.00, and after reserving

fifteen of the birds he sold the remainder for $54.00, thus gaining 1O¢ a head

by these. How many turkeys did he buy?

goli202084 Answered question

Let's assume, man bought x turkeys for $60, thus price per turkey is 60 ____ x He kept 15 turkeys and sold the remainder for 54$ gaining 10 cents per turkey. Let's convert this into algebraic expressions Remaining number of turkeys = x - 15 Selling price of x-15 is 54$, so selling price per turkey is 54 ____, but he made 10 cents (0.1$) profit per turkey so x-15 54 60 ____ - ____ = 0.1 ---------(1) x-15 x 54x-60x+900 = 0.1*x*(x-15) 10*(-6x+900) = x*(x-15) -60x+9000 = x^2-15x x^2+45x-9000 = 0 => (x+120)(x-75) = 0 => x = -120 or x = 75 Discarding -ve value, the man bought 75 turkeys for 80 cents each and sold, 60 turkeys (reserving 15 for himself) for 90 cents each making total profit of 10 cents per turkey

goli202084 Edited answer