Question

The area of one field is 16 acres, and the area of the second field is 5/4 times bigger. A barn of wheat on the first field makes up 75/2 thousands of pounds per acre, and on the second 17/15 times as much per acre. How much more wheat was gathered from the second field than from the first?

Answer 1

Hence, the amount of wheat gathered in field 2 is 250 thousands pounds more than the field 1.

Explanation:

Area of the smaller field= 16 acres

Area of the bigger field = 5/4 x (area of smaller field)

=
`(5)/(4)  * 16  = 20`

So,the area of the larger field = 20 acres

SMALLER FIELD:

Now, the barn of wheat on smaller field per acre = 75/2 thousands pounds

So, total wheat gathered in 16 acres = 75/2 thousands pounds ( 16 acres)

= 600 thousands pounds

⇒Total wheat gathered in the smaller field = 600 thousands pounds

LARGER FIELD:

Now, the barn of wheat on larger field per acre =
`(17)/(15) *(75)/(2)` thousand pounds

= 42.5 thousands pounds

So, total wheat gathered in 20 acres = 20 x ( 42.5 thousands pounds)

= 850 thousands pounds

⇒Total wheat gathered in the larger field = 850 thousands pounds

So, the difference in Wheat production

= Total production in larger field - Total wheat production in smaller field

= 850 thousands pounds - 600 thousands pounds

= 250 thousands pounds

Hence, the amount of wheat gathered in field 2 is 250 thousands pounds more than the field 1.