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? <3

Answer 1

His original farm was 333 1/3 acres

He has 66 2/3 acres of his land left

Explanation:

Lex

His total farmland = x

1/2 of x = Mr frost

100 acres = Mr slate

Remaining = 1/5x

His total farmland = Mr Frost + Mr slate + remaining farmland

x = 1/2x + 100 + 1/5x

x = 5x+2x/10 + 100

x = 7/10x + 100

x - 7/10x = 100

10x-7x/10 =100

3/10x = 100

Divide both sides by 3/10

x = 100 ÷ 3/10

= 100 × 10/3

= 1,000/3

= 333 1/3 acres

His original farm was 333 1/3 acres

He has 1/5 of his original farm

1/5 × 1000/3

= 1,000 / 15

= 66 10/15

= 66 2/3 acres

He has 66 2/3 acres of his land left