# Word Problem (Rational Equations and Variation Problems)

• Apr 30th 2012, 10:59 PM
Azusa
Word Problem (Rational Equations and Variation Problems)
In a park, the ratio of adults to children is 2 to 4. If there are 114 people in the park, how many children are there?

I don't even know where to start... How would I go about solving this problem?

Thanks for all the help.
Any help is appreciated,
Azusa.

EDIT: I have the answer (It is 76)... What is the process on solving this problem? Thank You.
• Apr 30th 2012, 11:10 PM
a tutor
Re: Word Problem (Rational Equations and Variation Problems)
A ratio of 2:4 is the same as a ratio of $\frac{2}{6}:\frac{4}{6}$ so you need to calculate 4/6 of 114.
• Apr 30th 2012, 11:13 PM
Azusa
Re: Word Problem (Rational Equations and Variation Problems)
Thank You, but where did you get the 6 from?

-Azusa.
• Apr 30th 2012, 11:19 PM
a tutor
Re: Word Problem (Rational Equations and Variation Problems)
2 + 4 = 6

(Nod)
• Apr 30th 2012, 11:27 PM
Azusa
Re: Word Problem (Rational Equations and Variation Problems)
Ahh... I see. So you just add up the ratios... Got it.

Thank you so much. x_x Another frustration down.
• Apr 30th 2012, 11:34 PM
Azusa
Re: Word Problem (Rational Equations and Variation Problems)
Oh, wait a sec; how come Attachment 23746 gave me the answer? I thought that was the adults?

I'm sorry if my questions seem rather stupid. I really have no idea. >.<

Thank You,
Azusa.
• May 1st 2012, 12:20 AM
a tutor
Re: Word Problem (Rational Equations and Variation Problems)
The order is important. If it says the ratio of adults to children is 2:4 then we have 2 adults to every four children.
• May 1st 2012, 12:41 AM
Azusa
Re: Word Problem (Rational Equations and Variation Problems)
omg... I wasn't reading the problem correctly...
i feel stupider than ever. For some odd reason I thought it went the other way around. 2:4 ; children:adult.
/sigh. Sorry for the trouble.

Thank You,
Azusa.