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

Answer:

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

Step-by-step explanation:

Area of the smaller field=  16 acres

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

= $\frac{5}{4}  \times 16  = 20$

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 = $\frac{17}{15} \times\frac{75}{2}$ 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.