Question

Mr. Bins sold 1/2 of his farm to Mr. Frost and 100 acres to Mr. Slate. He now has 1/5 of his original farm land. How big was his farm originally? How much land does he have now?

Answer 1

The original size of Mr. Bins' farm was 1000/3 acres. Mr. Bins now has 200/3 acres of land.

Step-by-step explanation:

To solve this problem, we can set up an equation. Let 'x' be the original size of Mr. Bins' farm. According to the information given, Mr. Bins sold half of his farm to Mr. Frost and 100 acres to Mr. Slate, which is equivalent to 1/5 of his original farm. Therefore, the equation becomes:

x - (1/2)x - 100 = (1/5)x

Simplifying the equation, we have:

(2/2)x - (1/2)x - 100 = (1/5)x

(1/2)x - 100 = (1/5)x

Get rid of the fractions by multiplying the entire equation by 10:

5x - 1000 = 2x

Subtract 2x from both sides:

5x - 2x - 1000 = 0

3x - 1000 = 0

Add 1000 to both sides:

3x = 1000

Divide both sides by 3:

x = 1000/3

So, the original size of Mr. Bins' farm was 1000/3 acres. To find out how much land he has now, we substitute this value back into the equation:

(1/5)(1000/3) = 200/3

Therefore, Mr. Bins now has 200/3 acres of land.