Difference between revisions of "1987 AJHSME Problems/Problem 23"

(New page: ==Problem== Assume the adjoining chart shows the <math>1980</math> U.S. population, in millions, for each region by ethnic group. To the nearest percent, what percent of the U.S. Black p...)
 
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==Problem==
 
==Problem==
  
Assume the adjoining chart shows the <math>1980</math> U.S. population, in millions, for each region by ethnic group.  To the nearest percent, what percent of the U.S. Black population lived in the South?
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Assume the adjoining chart shows the <math>1980</math> U.S. population, in millions, for each region by ethnic group.  To the nearest [[percent]], what percent of the U.S. Black population lived in the South?
  
 
<cmath>\begin{tabular}[t]{c|cccc}
 
<cmath>\begin{tabular}[t]{c|cccc}
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==Solution==
 
==Solution==
  
There are <math>5+5+15+2=27</math> million Blacks living in the U.S.  Out of these, <math>15</math> of them live in the South, so the percentage is <math>\frac{15}{27}\approx 56\% </math>.
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There are <math>5+5+15+2=27</math> million Blacks living in the U.S.  Out of these, <math>15</math> of them live in the South, so the percentage is <math>\frac{15}{27}\approx \frac{60}{108}\approx 56\% </math>.
  
 
<math>\boxed{\text{D}}</math>
 
<math>\boxed{\text{D}}</math>
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==See Also==
 
==See Also==
  
[[1987 AJHSME Problems]]
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{{AJHSME box|year=1987|num-b=22|num-a=24}}
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[[Category:Introductory Algebra Problems]]
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{{MAA Notice}}

Latest revision as of 15:22, 22 March 2020

Problem

Assume the adjoining chart shows the $1980$ U.S. population, in millions, for each region by ethnic group. To the nearest percent, what percent of the U.S. Black population lived in the South?

\[\begin{tabular}[t]{c|cccc}  & NE & MW & South & West \\ \hline White & 42 & 52 & 57 & 35 \\ Black & 5 & 5 & 15 & 2 \\ Asian & 1 & 1 & 1 & 3 \\ Other & 1 & 1 & 2 & 4  \end{tabular}\]

$\text{(A)}\ 20\% \qquad \text{(B)}\ 25\% \qquad \text{(C)}\ 40\% \qquad \text{(D)}\ 56\% \qquad \text{(E)}\ 80\%$

Solution

There are $5+5+15+2=27$ million Blacks living in the U.S. Out of these, $15$ of them live in the South, so the percentage is $\frac{15}{27}\approx \frac{60}{108}\approx 56\%$.

$\boxed{\text{D}}$

See Also

1987 AJHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 22
Followed by
Problem 24
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All AJHSME/AMC 8 Problems and Solutions

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