The area of one field is 16 acres and the area of the second field is 1 1/4 times bigger. 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 acre. How much more wheat was gathered from the second field than from the first?

Question

Mathematics

Abbey

3 June, 01:03

The area of one field is 16 acres and the area of the second field is 1 1/4 times bigger. 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 acre. How much more wheat was gathered from the second field than from the first?

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Answers (2)

Know the Answer?

Karina Banks · Answer 1

Answer:16/15^2

London Barron · Answer 2

Answer: 250000 pounds

Step-by-step explanation:

The area of one field is 16 acres and the area of the second field is 1 1/4 times bigger. This means that the area of the second field is

1.25 * 16 = 20 acres.

A barn of wheat on the first field makes up 37 1/2 thousands of pounds per acre. This means that the total wheat on the first field will be the amount of wheat per acre * total number of acres. It becomes

37.5 * 16 = 600 000 pounds of wheat.

On the second, it is 1 2/15 times as much per acre. This means that an acre on the second field contains

17/15 (converted 1 2/15 to improper fraction) times the number of wheat per acre on the first field.

Amount of wheat per acre for the second field = 17/15 * 37.5 = 42.5

This means that the total wheat on the second field will be the amount of wheat per acre * total number of acres. It becomes

42.5 * 20 = 850 000 pounds of wheat.

We will subtract the amount of wheat gathered from field 1 from the amount gathered from field 2. It becomes 850000 - 600000 = 250000 pounds of wheat. Therefore,

The amount of wheat gathered from the second field is 250000 pounds more than the amount from the first field