Misc. ideas for later

MATH COMICS

HOW MANY TRUCKS?

Chemicals are to be shipped by truck. 

We will call the chemicals: A, B, C, D, E, F

Certain chemicals should NOT be put in the same truck.

Using the restrictions found below, find the least number of trucks needed to ship the chemicals.

(If you wish, you can even show how you would load each truck.)

So that we can compare answers, use the trucks (in the order listed) with the following colors:

RED, TEAL, GREEN, YELLOW, SILVER, PINK

If we did not want to MINIMIZE the number of trucks used, 

we could send one chemical in each of the SIX trucks!

Here are the restrictions for the Chemicals:
A should NOT BE WITH B or C or D
B should NOT BE WITH A or C or E
C should NOT BE WITH A or D or B
D should NOT BE WITH A or C
E should NOT BE WITH F or B
F should NOT BE WITH E

Jeopardy had this category on a COLLEGE TOURNAMENT in 2014

Equations using 2, 0, 1, 4

How far can you go?
Here are some possible answers:

HOW MANY TRUCKS?

Chemicals are to be shipped by truck. 

We will call the chemicals: A, B, C, D, E, F

Certain chemicals should NOT be put in the same truck.

Using the restrictions found below,
find the least number of trucks needed to ship the chemicals.

(If you wish, you can even show how you would load each truck.)

So that we can compare answers, use the trucks
(in the order listed) with the following colors:

RED, TEAL, GREEN, YELLOW, SILVER, PINK

If we did not want to MINIMIZE the number of trucks used, 

we could send one chemical in each of the SIX trucks!

Here are the restrictions for the Chemicals:
A should NOT BE WITH B or C or D
B should NOT BE WITH A or C or E
C should NOT BE WITH A or D or B
D should NOT BE WITH A or C
E should NOT BE WITH F or B
F should NOT BE WITH E

A MAN HAS A MONKEY.

AT PRESENT, THE MAN’S AGE PLUS THE MONKEY’S AGE TOTALS 100. THE MAN IS NOW THREE TIMES AS OLD AS THE MONKEY WAS WHEN THE MAN WAS 10 YEARS OLDER THAN THE MONKEY IS NOW. HOW OLD IS THE MAn?

Problems 142, 154, 157,164, 168-170, 175, 176, 180

CLICK on the problem and you can see a larger view!

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The first figure in #168 appeared in a Babylonian 

Tablet from 1800 B.C.

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Problem #142



Successive Discounts

%%%% SALE %%%% DISCOUNT %%%% SAVE %%%%
When we buy an item "ON SALE" and the store gives
us a discount, say 25% (25% OFF), there are two ways
to find the FINAL PRICE.
I) Multiply the Original (LIST) Price by .25
and then subtract this number (25% of the List Price)
from the LIST PRICE. (Thus, using two steps.)
II) A one step process of Multiply the ORIGINAL PRICE
by .75 and having this product be the Final Price.
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With the above explanation, try this puzzle:

Which of the following two options would
save the most money?
Option #1: You can buy a $90.00
pair of shoes with a single discount of 29%.
OR
Option #2: The same pair of shoes can have
SUCCESSIVE DISCOUNTS of 10% and then 20%.

Try making you decision without performing
any arithmetic calculations.
After you make your choice, then actually
find the Final Prices under each Option.
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AFTER YOU HAVE ATTEMPTED THIS PUZZLE,
you can view the solution by copying  the yellow region below.
*************SOLUTION***************
You were probably surprised to find that
the one 29% discount was the best!

A more Algebraic explanation follows:

Let the LIST PRICE be represented by N.
The first of two discounts,10% off,
can be found by taking the
LIST PRICE TIMES .9 -> .9(N)
Multiplying this .9(N) times .8 results in
(.8)(.9)(N) or (.72)(N)
This is equivalent to an 28% Discount.
*************SOLUTION***************

Practice questions 151 thru 160