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If 250,000 acres in the Lake States are urban and
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13 Jan 2025, 01:31
13 Jan 2025, 01:31
Expert Reply
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Question Stats:
62% (02:57) correct
37% (03:51) wrong based on 8 sessions
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If 250,000 acres in the Lake States are urban and the land that is neither urban nor forested is farmland, then approximately what percent of the land area of the Lake States is farmland?
$\(25 \%\)$
$\(49\%\)$
$\(51\%\)$
$\(62 \%\)$
$\(74 \%\)$
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Re: If 250,000 acres in the Lake States are urban and
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23 Feb 2025, 02:43
23 Feb 2025, 02:43
Expert Reply
OFFICIAL EXPLANATION
Watch your units here: the number of acres of urban land mentioned in the problem is given in acres, while all the figures in the table are in thousands of acres. Since 250,000 acres is just 250 thousand acres, let's be consistant with the chart, and just use 250 for the area of the urban land. The total area of forested and urban land in the Lake States is $53,011+250$ or 53,261 acres. Now we can really use our answer choices here. We know that 53,011 is 25 percent of 207,952 , since we're told that the percent forested in the Lake States is $25 \%$. Now is 53,261 going to be a substantially different percent? Of course not-it's really very close. So the amount that's forested plus the amount that's urban will be just slightly more than 25 percent. Then what about the percent that is farmland? This is the land that is neither urban nor forested, so it is everything except that urban and forested land. Since a little more than 25 percent was urban and forested, a little less than $100 \%-25 \%$, or a little less than $75 \%$ must be farmland. The only choice that is close to that is $74 \%$.
Watch your units here: the number of acres of urban land mentioned in the problem is given in acres, while all the figures in the table are in thousands of acres. Since 250,000 acres is just 250 thousand acres, let's be consistant with the chart, and just use 250 for the area of the urban land. The total area of forested and urban land in the Lake States is $53,011+250$ or 53,261 acres. Now we can really use our answer choices here. We know that 53,011 is 25 percent of 207,952 , since we're told that the percent forested in the Lake States is $25 \%$. Now is 53,261 going to be a substantially different percent? Of course not-it's really very close. So the amount that's forested plus the amount that's urban will be just slightly more than 25 percent. Then what about the percent that is farmland? This is the land that is neither urban nor forested, so it is everything except that urban and forested land. Since a little more than 25 percent was urban and forested, a little less than $100 \%-25 \%$, or a little less than $75 \%$ must be farmland. The only choice that is close to that is $74 \%$.
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