About Chanda Walker Expertise I can answer word problems involving mathematics at the high school and college level. I particularly enjoy calculus word problems. Please don't just type the math problem without comments. If you don't tell me what problem your having, I can't help.
Experience Have done word problems as a tutor and as a student of mathematics and physics for years.
Organizations Sigma Xi
Education/Credentials Optical Science PhD
Past/Present Clients I've answered hundreds of questions here at AllExperts.com in algebra, physics and general math sections.
Question Alice, Betty, Carol and Dorothy were lifeguard, a lawyer, a pilot or a professor. Each wore a white, yellow, pink or blue dress.
The lifeguard beat betty at canasta and carol and the pilot played poker with the women in pink and blue dresses. Alice and the professor envied the woman in the blue dress, but this was not the lawyer, as she always wore a white dress.
What was each woman's occupation and dress color?
pls help, with explanation/solution.
THanks so much
Answer Here is what we know:
A (not a professor) (not blue) (due to mutual envy)
B (not a lifeguard) (played the lifeguard at Canasta)
C (not a pilot) (not pink not blue) (played the pilot/pink/blue at poker)
D
lawyer = white (always wore white)
pilot = not pink not blue not white (not a lawyer, played C/pink/blue at poker)
professor = not blue not white (not a lawyer, envied blue)
That is what I interpret from the text alone. Now the logic . . .
The pilot must wear yellow since all the other colors are ruled out. Now we know the professor must wear pink since yellow is taken. And finally the lifeguard is left with blue since that is the only color left.
A (not a professor) (not blue)
B (not a lifeguard)
C (not a pilot) (not pink not blue)
D
lawyer = white
pilot = yellow
professor = pink
lifeguard = blue
Now we know the color of the professions, we know A and C can't be a lifeguard. And we know C can't be a professor.
A (not professor not lifeguard) (not blue)
B (not lifeguard)
C (not pilot not lifeguard not professor) (not pink not blue)
D
lawyer = white
pilot = yellow
professor = pink
lifeguard = blue
That means that C must be the lawyer. And A can now only be the pilot. That means that B must be the professor. And finally D must be the lifeguard.
Alice is a pilot in yellow.
Betty is a pink professor.
Carol is a cool lawyer in white.
Dorothy is a true blue lifeguard.
Thanks for the fun problem! Let me know if I can help further.