Difference between revisions of "1987 AJHSME Problems/Problem 23"
5849206328x (talk | contribs) (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? | + | 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} | ||
| Line 15: | Line 15: | ||
==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>. | + | 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> | ||
| Line 21: | Line 21: | ||
==See Also== | ==See Also== | ||
| − | [[ | + | {{AJHSME box|year=1987|num-b=22|num-a=24}} |
| + | [[Category:Introductory Algebra Problems]] | ||
| + | {{MAA Notice}} | ||
Latest revision as of 15:22, 22 March 2020
Problem
Assume the adjoining chart shows the 
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?
![\[\begin{tabular}[t]{c|cccc} & NE & MW & South & West \\ \hline White & 42 & 52 & 57 & 35 \\ Black & 5 & 5 & 15 & 2 \\ Asian & 1 & 1 & 1 & 3 \\ Other & 1 & 1 & 2 & 4 \end{tabular}\]](http://latex.artofproblemsolving.com/a/c/0/ac0df9f07dd9f79c3f3332c757b2ab909d547f32.png)
Solution
There are 
million Blacks living in the U.S. Out of these, 
of them live in the South, so the percentage is 
.
See Also
| 1987 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 22 |
Followed by Problem 24 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
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