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 37 1/2 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 1

Answer:

858 thousand pounds

Step-by-step explanation:

The first field has an area of 16 acres; the second has an area "1 1/4 times bigger".

Most people will interpret that incorrectly, saying the area of the second field is 16 time 1 1/4, which is 20. But the grammatically correct interpretation of "1 1/4 times bigger" is the size of the first field, plus 1 1/4 more times the size of the first field.

So the size of the second field in acres is 16+%2B+1.25%2A16+=+36

So the first field has an area of 16 acres and the second has an area of 36 acres.

The first field yields 37.5 thousand pounds of wheat per acre. The total amount of wheat from the first field is 16%2A37500+=+600000

The yield from the second filed is 1 2/15 times as much per acre as the first field. The yield in pounds per acre for the second field is 37500%2A%2817%2F15%29+=+40500.

So the total amount of wheat from the second field is 36%2A40500+=+1458000

The difference in the total yield from the two fields is 1458000-600000+=+858000

The second field yielded 858 thousand pounds more of wheat.

Answer 2

Answer:

930 thousand pounds of wheat

Step-by-step explanation:

the first field will produce: 16 x 37.5 = 600 thousand pounds of wheat

the second field will produce: (16 x 2.25) x (37.5 x 1.1333) = 36 x 42.5 = 1,530 thousand pounds of wheat  

the difference between both fields = 1,530 - 600 = 930 thousand pounds of wheat

*the second field is 1.25 times bigger, that = 16 acres + (16 acres x 1.25) = 36 acres.

**1 and 2/15 = 1.1333