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.

Step-by-step explanation:

Since we have given that

the area of one field = 16 acres

Area of second field is given by

$1\frac{1}{4}\times 16\\\\=\frac{5}{4}\times 16\\\\=5\times 4\\\\=20\ acres$

A barn of wheat on the first field makes up

$3\frac{7}{12}\times 16\\\\=\frac{43}{12}\times 16\\\\=57.33\text{ thousands of pounds.}$

A barn of wheat on the second field makes up

$1\frac{2}{15}\times 20\\\\=\frac{43}{12}\times \frac{17}{15}\times 20\\\\=81.22\text{ thousands of pounds }$

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.