Question

Mr bins sold 1/2 of his farm to Mr frost and 100 acres to Mr slate. he now has 1/5 of what he originally had. how big was his farm originally? how much land does he have now?

Answer 1

Mr. Bins' farm was originally 502.5 acres and he now has 201.25 acres left.

Step-by-step explanation:

To find the size of Mr. Bins' farm originally, we need to determine the fraction that represents the portion he has left. Since he now has 1/5 of what he originally had, it means he sold 4/5 of his farm. Since 4/5 represents the portion of the farm he sold, the fraction that represents the portion he still has is 1 - 4/5 = 1/5.

We know that he sold 1/2 of his farm to Mr. Frost and 100 acres to Mr. Slate. So if 1/5 of his farm represents the portion he still has, then we can set up the following equation:

1/5 = (1/2) + 100

To solve for the original size of his farm, we can multiply both sides of the equation by 5:

5 * (1/5) = 5 * (1/2) + 5 * 100

1 = 5/2 + 500

Next, we can simplify:

1 = 2.5 + 500

1 = 502.5

Therefore, the original size of Mr. Bins' farm was 502.5 acres.

To find the size of his farm now, we can subtract the portion he sold from the original size:

502.5 - (100 + (1/2) * 502.5) = 502.5 - 301.25 = 201.25 acres

Answer 2

to get the answer you need to subtract 1/5 from 1/2 and you'd get 3/10, to simplify3/10 you divide 10 by 3 to get 0.3