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,

Question

2 years ago

8

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

1 answer:

mel-nik [20] · Answer 1 · 2022-08-25T09:31:28+03:00

Answer: 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.