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May 20th, 2016, 06:56 AM  #1 
Newbie Joined: May 2016 From: FL Posts: 1 Thanks: 0  Algebra Word problem help ! please
In a survey at a local university, 24% of students say that they get less than the recommended eight hours of sleep per night. In a group of 2900 students, how many would you expect get eight or more hours of sleep per night? I do not understand word problems, I have a test coming up and Need help solving .... Thank you !! 
May 20th, 2016, 07:11 AM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 2,805 Thanks: 1449 
If 24% of the student population gets less than 8 hrs of sleep, what percentage of the student population would get 8 or more hours of sleep?

May 20th, 2016, 08:50 AM  #3 
Newbie Joined: May 2014 From: Texas Posts: 17 Thanks: 1 
Total Students = 2,900 % of nonsleeping students= 24% % of sleeping students = 100%  % of non sleeping students. Total sleeping students = Total Students * % of sleeping students (converted in decimal). % Conversion in decimal is easy. 100% is 1.00 ; 90% is 0.90. 80% is 0.80. 65% is 0.65 (you get the feel) 
June 16th, 2016, 06:11 PM  #4 
Newbie Joined: Jun 2016 From: Minnesota Posts: 16 Thanks: 2 
So the total student population is 2900. 24% do not get the recommended amount. 24% is 0.24. To calculate the number of students, multiply 2900 by 0.24. That is 696 students who do not get the recommended amount. Subtract 696 from 2900. That means 2204 students do get the recommended amount. Or, 100%24% is 76%, or 0.74 in decimal. 2900 times 0.74 is 2204. 
June 16th, 2016, 06:41 PM  #5  
Senior Member Joined: May 2016 From: USA Posts: 1,245 Thanks: 515  Quote:
Last edited by skipjack; June 16th, 2016 at 08:19 PM.  
June 16th, 2016, 08:16 PM  #6 
Global Moderator Joined: Dec 2006 Posts: 20,089 Thanks: 1902 
Type 290024% into Google.

June 17th, 2016, 03:31 PM  #7 
Newbie Joined: Jun 2016 From: Minnesota Posts: 16 Thanks: 2 
Sorry, that was a typo. Meant to say 0.76

June 17th, 2016, 05:09 PM  #8 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 895 
Equivalently, since 24% of 2900 students get less than eight hour sleep, (0.24)(2900)= 696 get less than eight hours of sleep. That leaves 2900 696= 2204 who get 8 hours or more sleep.


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