Answer :
Answer
The weight of 130 acres of corn is:
[tex]X\approx692\text{tons (to nearest whole number)}[/tex]SOLUTION
Problem Statement
The question tells us a farmer wants to harvest 190 bushels for each acre of land. Each bushel of corn weighs 56 pounds and we are required to find the weight of corn from a 130 acre field in tons given that 1 ton is equivalent to 2000 pounds.
Explanation
Step 1:
First of all, let us find the total weight of the corn in 1 acre. We are told that 1 acre contains 190 bushels and 1 bushel contains 56 pounds of corn. This means that:
If 1 bushel of corn weighs 56 pounds, then 190 bushels (equivalent to 1 acre) would be:
[tex]56\times190=10640\text{pounds}[/tex]Step 2:
After finding the weight of 1 acre of corn, we are now best placed to find the weight of 130 acres of corn.
If 1 acrea of corn weighs 10,640 pounds, then 130 acres woudl be:
[tex]130\times10640=1,383,200\text{ pounds}[/tex]Step 3:
We are required to find our answer in tons and to round to the nearest whole number.
We are given that:
1 ton is equivalent to 2000 pounds, this implies that:
[tex]\begin{gathered} \text{X tons will be equivalent to 1,383,200 pounds} \\ \text{Thus, we can write:} \\ X=\frac{1383200}{2000} \\ \therefore X=691.6\text{ tons} \\ \\ \text{Thus, the number of tons is:} \\ X\approx692\text{tons (to nearest whole number)} \end{gathered}[/tex]Final Answer
The weight of 130 acres of corn is:
[tex]X\approx692\text{tons (to nearest whole number)}[/tex]