A farmer was 1/3 of his land to grow corn, a quarter of his land to grow lettuce, and 12.5% of his land to grow green beans. He uses the remaining 7 acres to grow wheat.How many total acres does the farmer own?
Convert all land portions to fractions or decimals. We will do fractions:
1/3 + 1/4 + 1/8
We need a common factor for 3, 4, and 8. Using our LCM Calculator, we get 24.
1/3 = 8/24
1/4 = 6/24
18 = 3/24
Add them all up:
(8 + 6 + 3)/24
17/24
This means 17/24 of the land is used for everything but wheat. Wheat occupies (24-17)/24 = 7/24 of the land.
We'll use a for the number of acres on the farm.
7a/24 = 7
a = 24
Convert all land portions to fractions or decimals. We will do fractions:
- 1/3 for corn
- A quarter means 1/4 for lettuce
- 12.5% is 12.5/100 or 1/8 for green beans
1/3 + 1/4 + 1/8
We need a common factor for 3, 4, and 8. Using our LCM Calculator, we get 24.
1/3 = 8/24
1/4 = 6/24
18 = 3/24
Add them all up:
(8 + 6 + 3)/24
17/24
This means 17/24 of the land is used for everything but wheat. Wheat occupies (24-17)/24 = 7/24 of the land.
We'll use a for the number of acres on the farm.
7a/24 = 7
a = 24