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| For The Mathematically Inclined |
Anil Saigal
01/02/2007
FOR CHILDREN FOR GROWNUPS PROBLEM # 2 ------------------------------------------------------------------------------------------------------------- SOLUTIONS TO PROBLEMS ON 12/28/06 SOLUTION FOR GROWNUPS SOLUTION
A student buys 13 pencils and 3 erasers for
$1.00. A pencil costs more than an eraser, and both items cost a whole
number of cents. What is the total cost, in cents, of one pencil and
one eraser.
PROBLEM # 1
Circles
with centers (2,4) and (14,9) have radii of 4 and 9, respectively. The
equation of a common tangent to the circles can be written n the form
of y=mx+b with m>0. What is b?
Please send your solutions to anil@lokvani.com.
Use Problem Solutions M-011107
as the subject line. Please include your full name in the text of the
main message. Everyone with the right answer will be acknowledged in
the next issue of Lokvani.
Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com.
If you need clarification on any problem, please contact anil@lokvani.com.
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FOR CHILDREN
PROBLEM # 1
A
salesman drives from Boston to New York. The first half of the distance
of his journey, he drives at a constant speed of 80 km/h. The second
half of the distance of his journey, he drives at a constant speed of
120 km/h.
What is the salesman's average speed for the complete journey?
96 km/h.
PROBLEM # 2
On
a sunny morning, a greengrocer places 200 kilograms of cucumbers in
cases in front of his shop. At that moment, the cucumbers are 99% water
by weight. In the afternoon, it turns out that it is the hottest day of
the year, and as a result, the cucumbers dry out a little bit. At the
end of the day, the greengrocer has not sold a single cucumber, and the
cucumbers are only 98% water. How many kilograms of cucumbers has the
greengrocer left at the end of the day?
100 kilograms.
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