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: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 acresArea of the bigger field = 5/4 x (area of smaller field)= [tex]\frac{5}{4}  \times 16  = 20[/tex]So,the area of the larger field = 20 acresSMALLER 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 poundsLARGER FIELD: Now, the barn of wheat on larger field per acre = [tex]\frac{17}{15} \times\frac{75}{2}[/tex] thousand pounds= 42.5 thousands poundsSo, total wheat gathered in 20 acres  = 20 x  ( 42.5 thousands pounds)= 850 thousands pounds⇒Total wheat gathered in the larger field  = 850 thousands poundsSo, the difference in Wheat production = Total production in larger field -   Total wheat production in smaller field= 850 thousands pounds - 600 thousands pounds= 250 thousands poundsHence, the amount of wheat gathered in field 2 is  250 thousands pounds more than the field 1.