Farmer bill sold potatoes at the farm market. he sold a quarter to the first person, 4/9 of what was left to the second person, and the third buyer bought 4/5 of what was left and the last 10 lb. how many pounds of potatoes farmer bill sold? 3 is what percent of 1/4

120 lb of potatoes.

Step-by-step explanation:

Let the pounds of potatoes sold by farmer Bill      = X lb

Fractional part sold to the first person                    = 1/4

Therefore 1/4 of X                                                      = 1/4  x X

                                                                                    = X/4 lb of potatoes.

No of potatoes left for sale                                        = X - X/4

                                                                                    = ( 4x - x )/4

                                                                                    = 3x/4 lb.

Fractional part sold to the second person out of the reminder = 4/9

Therefore 4/9 of 3x/4                                                 = 4/9 x 3x/4

                                                                                    = x/3 lb of potatoes.

Amount of potatoes left for sale                               = 3x/4 - x/3

Resolve into fraction , we have                                 = (9x - 4x)/12, because 12 is the LCM.

                                                                                    = 5x/12

Third buyer bought 4/5 of the left over                    = 4/5 of 5x/12

                                                                                   =   x/3 lb of potatoes.

Amount  of potatoes left                                           =   5x/12 - x/3

Resolve in to fraction again  taking 12 as the LCM =   ( 5x - 4x )/12

                                                                                   = x/12 lb of potatoes .

Therefore, the left over was 10 lb .

To determine the value of x now which correspond to the amount of potatoes sold by Farmer Bill, we shall the equate the left to  x/12 = 10                                                                                                                

we now cross multiply to get the value of x                             x = 120 lb.

therefore the pound of potatoes sold by farmer Bill  = 120 lb.