Question

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 3 7/12 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?

Answer should be in pounds.

Answer 1

Answer: 23.89 thousands of pounds is more wheat that was gathered from the second field than from the first field.

Explanation:

Since we have given that

the area of one field = 16 acres

Area of second field is given by

`1(1)/(4)* 16\\\\=(5)/(4)* 16\\\\=5* 4\\\\=20\ acres`

A barn of wheat on the first field makes up

`3(7)/(12)* 16\\\\=(43)/(12)* 16\\\\=57.33\text{ thousands of pounds.}`

A barn of wheat on the second field makes up

`1(2)/(15)* 20\\\\=(43)/(12)* (17)/(15)* 20\\\\=81.22\text{ thousands of pounds }`

Now,

`81.22-57.33=23.89`

Hence, 23.89 thousands of pounds is more wheat that was gathered from the second field than from the first field.