Difference between revisions of "1974 AHSME Problems/Problem 7"
(Created page with "==Problem== A town's population increased by <math> 1,200 </math> people, and then this new population decreased by <math> 11\% </math>. The town now had <math> 32 </math> less p...") |
|||
| (One intermediate revision by one other user not shown) | |||
| Line 9: | Line 9: | ||
==See Also== | ==See Also== | ||
{{AHSME box|year=1974|num-b=6|num-a=8}} | {{AHSME box|year=1974|num-b=6|num-a=8}} | ||
| + | [[Category:Introductory Algebra Problems]] | ||
| + | {{MAA Notice}} | ||
Latest revision as of 11:42, 5 July 2013
Problem
A town's population increased by 
people, and then this new population decreased by 
. The town now had 
less people than it did before the increase. What is the original population?
Solution
Let 
be the original population. When people came, the new population was 
. Then, since the new population decreased by , we must multiply this new population by 
to get the final population. This is equal to 
. We're given that this is less than the original popluation, . Therefore, 
.
See Also
| 1974 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 6 |
Followed by Problem 8 | |
| 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 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
