page27 - sprint 2011

HINTS:

3) Recall that (Negative)times(Negative) is Positive

HINTS:

4) - runs scores are WHOLE NUMBERS

- 75% is equivalent to what fraction

- A fraction times a whole number implies
that the number must be divisible by
the denominator of the fraction

5) The way the circles are drawn
Set C is a subset of set B and

set B is a subset of set A.
i.e. If the inner most circle had 10 items

and the area between C and B had 50 items
 and the area outside of B had

40 items then Set A would have 100 items.

HINTS:

8) I drew arrows from each circle to the one 

that depended on it for a value.

i.e. from "P" to "M" an arrow would say
"MULTIPLY by 2" ...

9) Tough question.

173 divided by 3 is about 58.

We need three consecutive primes around 58.

Good luck!

HINTS:

12) Since the fraction x/y can be reduced to 3/4
 you could conclude that

"x" must be divisible by -?-
and "y" must be divisible by -?-

HINTS:

14) Look for a pattern.
15) Guess and Check

HINTS:

20) Notice that the INTEGER described
can be multiplied by 3/4 and also 1/8.
Thus, this INTEGER must be divisible by -?-

21) Be careful.
You must find all the negative integers that make

the INEQUALITY "true".
You can isolate "x" or just plug in values

for x starting with -1.

22) Tough question. 

You can use simultaneous equations with 

"x = the number of elements in A but not in B" and

"y = the number of elements in B but not in A"

using the relationships found in the problem

x + 1000 = -?-

and x + y + 1000 = -?-

Or make a chart for x and y
and use "Guess and Check"

23) Another tough question.

Using a calculator you could try:
 21/20, 31/30, etc.

Maybe a pattern will appear.