Question

The area of one feild is 16 acers and the area of the second field is 1 1/4 times bigger. A barn of wheat on the first feild makes up 37 1/2 thousands of pounds per acre,and on the second 1 2/15 times as much per acer. How much more wheat was gathered from the second feild than from the first Search instead for The area of one feild is 16 acers and the area of the second felid is 1 1/4 times bigger. A barn of wheat on the first feild makes up 37 1/2 thousands of pounds per acre,and on the second1 2/15 times as much per acer. How much more wheat was gathered from the second feild than from the first

Answer 1

250 pounds

Explanation:

Since the area of the first field is 16 acres and that of the second field is 1¹/₄ times that of the first field, the are of the second field is thus 16 × 1¹/₄ acres = 16 × 5/4 = 4 × 5 = 20 acres.

Also, A barn of wheat on the first field makes up 37 ¹/₂ thousands of pounds per acre, and on the second 1 ²/₁₅ times as much per acer. So, the amount of wheat per acre of the second field is thus 37 ¹/₂ × 1 ²/₁₅ thousand pounds per acre = 75/2 × 17/15 = 5/2 × 17 = 85/2 = 42 ¹/₂ thousand pounds per acre.

The amount of wheat gathered on the first field is thus 16 acres × 37 ¹/₂ thousands of pounds per acre = 16 × 75/2 = 8 × 75 = 600 pounds

The amount of wheat gathered on the first field is thus 20 acres × 42 ¹/₂ thousands of pounds per acre = 20 × 85/2 = 10 × 85 = 850 pounds

So, the amount of wheat gathered on the second field more than the first is thus 850 pounds - 600 pounds = 250 pounds.