
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
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August 12th, 2018, 12:06 PM  #1 
Member Joined: Aug 2018 From: Warrington Posts: 50 Thanks: 1  Working out area 1
The campsite shop also sells boxes of PickMeUp teabags. The base of each box is a 120 mm square. The shelf where the boxes are displayed is a 65 cm x 35 cm rectangle. Work out the maximum number of boxes that will fit on the shelf. 
August 12th, 2018, 12:13 PM  #2 
Member Joined: Aug 2018 From: Warrington Posts: 50 Thanks: 1 
So to work this out I have converted 120 mm divided by 10 = 12 cm then i have divided 2275 cm by 12 cm squared = 189 cm squared. The final answer I got was 189.58 so the maximum number of boxes would be 189. 
August 13th, 2018, 08:22 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 19,722 Thanks: 1807 
You should have divided by 144. However, after placing two rows of five boxes, the remaining space is in an Lshape (at best) that doesn't allow any more boxes to fit in.

August 13th, 2018, 09:42 AM  #4 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,315 Thanks: 935 
Mr. Willow, a similar problem: You have a rectangle with dimensions 240 by 720. How many 120 by 120 squares can you draw inside that rectangle? 
August 13th, 2018, 09:42 AM  #5 
Member Joined: Aug 2018 From: Warrington Posts: 50 Thanks: 1 
So do you divide 2275 cm by 144 to get the final answer?

August 13th, 2018, 09:44 AM  #6 
Member Joined: Aug 2018 From: Warrington Posts: 50 Thanks: 1  
August 13th, 2018, 10:13 AM  #7 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,315 Thanks: 935  
August 13th, 2018, 12:12 PM  #8 
Member Joined: Aug 2018 From: Warrington Posts: 50 Thanks: 1  
August 13th, 2018, 12:28 PM  #9 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,315 Thanks: 935 
240 by 700 is SMALLER than 240 by 720. So HOW did you get 14? Can't you see that's impossible? 
August 13th, 2018, 01:05 PM  #10 
Member Joined: Aug 2018 From: Warrington Posts: 50 Thanks: 1  

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