Difference between revisions of "1995 AHSME Problems/Problem 5"
(New page: ==Problem== A rectangular field is 300 feet wide and 400 feet long. Random sampling indicates that there are, on the average, three ants per square inch through out the field. [12 inches =...) |
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==Solution== | ==Solution== | ||
− | The rectangular field is 3600 inches wide and 4800 inches long | + | The rectangular field is <math>300 \text{ feet} \cdot \frac{12 \text{ inches}}{1 \text{ foot}} = 3600 \text{ inches}</math> wide and <math>400 \text{ feet} \cdot \frac{12 \text{ inches}}{1 \text{ foot}} = 4800 \text{ inches}</math> inches long. |
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+ | It has an area of <math>3.6\cdot 10^3 \cdot 4.8 \cdot 10^3 = 17.28 \cdot 10^6</math> square inches. | ||
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+ | We multiply by <math>3</math> to account for the ants to get approximately <math>50 \cdot 10^6</math>, which is <math>50</math> million <math>\Rightarrow \mathrm{(C)}</math> | ||
==See also== | ==See also== | ||
+ | {{AHSME box|year=1995|num-b=4|num-a=6}} | ||
+ | {{MAA Notice}} |
Latest revision as of 12:58, 5 July 2013
Problem
A rectangular field is 300 feet wide and 400 feet long. Random sampling indicates that there are, on the average, three ants per square inch through out the field. [12 inches = 1 foot.] Of the following, the number that most closely approximates the number of ants in the field is
Solution
The rectangular field is wide and inches long.
It has an area of square inches.
We multiply by to account for the ants to get approximately , which is million
See also
1995 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
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 |
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