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In countries that use the metric system of measurement, corn yields are sometimes expressed in quintals per hectare (q/ha) instead of bushels per acre (bu/ac). 1 quintal = 220.462 lbs 1 bushel of corn = 56 lbs In field trials in one of these countries, a particular corn hybrid yielded 151 q/ha. What is this in bushels per acre (bu/ac)? Margin of Error: +/- 1 bu/ac

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Answer:

The answer is below

Step-by-step explanation:

Different countries have different metric system of measurement, but the metric system of measurement accepted all over the world is the international system of unit (SI unit)

1 quintal =  220.462 lbs and 1 bushel of corn = 56 lbs.

151 q/ha = (151 × 220.462) lbs/ha = 33289.762 lbs/ha

But 1 hectare = 2.471 acre, hence:

33289.762 lbs/ha = [tex]\frac{33289.762\ lbs}{1\ ha*\frac{2.471\ acre}{1 \ ha} } =13472.182\ lbs/acre[/tex]

Since 1 bushel of corn = 56 lbs, hence:

[tex]13472.182\ lbs/acre=\frac{13472.182\ lbs*\frac{1\ bushels}{56\ lbs} }{acre}=240.6\ bushels/acre[/tex] = 240.6 bu/ac

For a Margin of Error: +/- 1 bu/ac, the bushels per acre = (239.6 bu/ac, 241.6 bu/ac)

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