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I remember those crazy last pages of the cover of Mad Magazine that you had to fold to get the TRUE message....and Spy vs Spy   etc......

~jc

Oh, so that is who you pic is of. I'd heard of him but didn't make the connection with yo avatar! I thought it was a cartoon pic of u

On a certain college faculity, 4/7 of the professors are male, and the ratio of the professors older than 50 to the professors less than or equal to 50 years is 2:5. if 1/5 of the male professors are older than 50 years, what fraction of the female professors are less than or equal to 50 years ?

Let 

T = total number of proffessors

M= number of male professors            M=(4/7) T

F = number of female professors         F = (3/7) T

MU (males under 50)

MQ (males over 50)

FU (females under 50)

FQ (females over 50)

(MQ+FQ)=(2/7)T

(MU+FU)=(5/7)T

\(\frac{MQ}{M} =\frac{ 1}{5}\\ \frac{MQ}{ (4/7)T} =\frac{ 1}{5}\\ MQ =\frac{ 1}{5}\times \frac{4T}{7}=\frac{4T}{35}\\ \)

\((MQ+FQ)=\frac{2T}{7}\\ \frac{4T}{35}+FQ=\frac{2T}{7}\\ \frac{4T}{35}+FQ=\frac{10T}{35}\\ FQ=\frac{10T-4T}{35}\\ FQ=\frac{6T}{35}\\ so\\ FU=F-FQ\\ FU=\frac{3T}{7}-\frac{6T}{35}\\ FU=\frac{15T}{35}-\frac{6T}{35}\\ FU=\frac{9T}{35}\\~\\ \frac{FU}{F}=\frac{9T}{35}\div \frac{3T}{7}\\ \frac{FU}{F}=\frac{9T}{35}\times \frac{7}{3T}\\ \frac{FU}{F}=\frac{3}{5}\)

So 3/5 of the female professors are under 50.

For sure Chris !   We can use it a 'screening tool'   ha

Okkkkkkkkkkk, yeah it is impossible to plz everybody, I mean you try to plz everybody u plz nobody, shouldn't say this but: Stupid Mayor!

haha, funny CPhil!

 Guest: could u put two "has" idk why but one bother me...

Guest.......I don't want to paint with a broad brush, but I don't think that too many of the younger set on here know of MAD Magazine or the Hon. Alfred E. Neuman..........!!!!!

A Generation Gap, perhaps  ????

As I suspected.....    'What , me worry?'   was the famous quote of Alfred E Neuman.....look him up...you'll laugh

Political correctness involves making sure NO ONE is offended (impossible).   Unicorns and rainbows and taking down statues of people 6 generations ago who owned slaves....etc.

Huhhhhhh Guest?

Do yo mean neat as in clean( cuz it ain't) or that it cool? Cuz it is pretty cool... Most of the time. Unless u see a guy gettin shot across the street:(

I wonder if I asked who said 'What, Me worry?'   How many people would know they look at the person who said it everyday?     Ha

That's sooo cool CPhil! 

Not sure exactly what you meant Guest?

Also CPhil I'm pretty sure it's still called UNO:) Though I may be wrong...

a. 1 gallon equals 16 cups, so 1 5/8 gallons equals 26 cups.

solution: turn 1 5/8 into an improper fraction: (8 x 1) + 5 = 13, so 13/8

(13/8) x 16 = 26

convert:

2/5 to 8/20 cups for red

1/4 to 5/20 cups for blue

Add together.

13/20 cup equals 1 unit of purple.

red:

Divide the ratio by the whole.

(2/5 red) / (2/5 red)+(1/4 blue) =

(2/5) / (13/20) =

(2/5) x (20/13) = 8/13

(8/13) x 26 total cups = 16 cups or 1 gallon

blue:

Divide the ratio by the whole.

(1/4) / (2/5)+(1/4) =

(1/4) / (13/20) =

(1/4) x (20/13) = 5/13

(5/13) x 26 total cups = 10 cups or 10/16 of a gallon, which simplifies to 5/8 gallon.

Final answer: 1 gallon red, 5/8 gallon blue.

***

b. 1 gallon equals 16 cups, so 3/8 gallons equals 6 cups.

convert:

1/10 to 2/20 cups for white

2/5 to 8/20 cups for red

1/4 to 5/20 cups for blue

Add together.

15/20 cup or 3/4 cup equals 1 unit of light purple.

We want 6 cups of light purple so divide 6 by 3/4 equalling 8 units total.

Multiply 8 to each ratio:

1/10 white x 8/1 = 4/5 cups of white

2/5 red x 8/1 = 18/5 = 3 1/5  cups of red

1/4 blue x 8/1 = 2 cups of blue

[4/5 + 3 1/5 + 2 = 6 total cups of light purple]

Political Correctness run amok......don't get me started.     I choose to remember history as it happened ,,,not as it is rewritten .   ha

Hey, Coldplay......I'm right up the road from you in Shreveport.......!!!

I went to UNO  for awhile   [I'm not sure what it's called now]

Small world, hey ????

P.S.  - I LOVE New Orleans......one of the neatest cities in the world.....!!!!!

Haha, jazz fest is fun...

French quarter is also fun, but I hate that the fortune tellers put there booths in front of the cathedral, it's like a mockery! And now Mr Mayor takin down statues cuz they are of peeps who had slaves... Awful!

Sorry,,,,,medical stuff is always 24 hour format.       I went to JazzFest a couple of times,,,it was great......and so was the Quarter!

Ok, that's better guest:) Yeah I think all moderators must be mathematicians!

I HATE 24hr time! But I got what you meant. I liv in New Orleans, it ain't as exciting as everyone says it is. I mean there are many sensible things in New Orleans. Just skip all the tourist attractions,LOL! Yeah, bourbon street must see more evil each day than the rest of NOLA combined each week... Well that may be an exaggeration ...

Well, let's suppose that the two markdown values are  10%   and 30%

So, the final sales price is just :

520(.90)(.70) = $327.60  or  $328  [rounded]

True that!   I think I meant the MODERATORS were teachers etc...... I try to give a shout out to the others who answer correctly....Hayley1....    etc       

Lemme correct your statement. 

A lot of the answers are teens! 

I could rattle off quite a few that giv great answers!!!!!!!!!!!!!!!!!!!!

2200 your time is 2100 my time     right now it is 00:13

I grew up in AR.....been to NOLA a few times....fun stuff

Too True CPhil!!!

I'm not sure....I think a lot of the q'ers are teens....I think a lot of the answerers are teachers or graduate-type folks, There IS some MATH_PROWESS amonsth the moderators ....Cphill, Melody etc

  I'm still a little rusty.....it has been many years since calculus diffyQ  advanced applied math  engineering economics etc !!!...but this forum is getting the 'gears' going ....slowly