Question

a field yields 50 bushels of corn per acre. how many kilograms per hectare is this? (1 bushel corn = 25.4 kg, 1 hectare = 2.471 acres) 3138.17 kg/hectare 313.817 kg/hectare 3038.17 hkg/hectare no answer text provided.

Explanation:

Step1: Calculate kg per acre

Since 1 bushel of corn = 25.4 kg and there are 50 bushels per acre, the yield in kg per acre is $50\times25.4$ kg/acre.
$50\times25.4 = 1270$ kg/acre

Step2: Convert kg/acre to kg/hectare

We know that 1 hectare = 2.471 acres. Let $x$ be the yield in kg/hectare. We have the proportion: if 1 acre has 1270 kg, then 2.471 acres (1 hectare) has $x$ kg. So $x=\frac{1270}{1/2.471}=1270\times2.471$.
$1270\times2.471 = 3138.17$ kg/hectare

Answer:

3138.17 kg/hectare