
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
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December 2nd, 2016, 07:33 AM  #1 
Member Joined: Nov 2016 From: United States Posts: 30 Thanks: 0  math problem
If I purchased 5 pounds of smoked sharp cheddar cheese for $28, how much would 1 quart of grated cheese cost? Any help would be appreciated. Last edited by skipjack; December 2nd, 2016 at 10:24 AM. 
December 2nd, 2016, 08:17 AM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 2,429 Thanks: 1196 
a quart is a measure of volume ... pounds is a measure of weight. volume and weight do not measure the same thing. you would need to know the weightdensity of grated cheese in lbs per unit volume (fluid ounce) to answer this question. a volume (fluid) ounce $\ne$ a weight (avoirdupois) ounce. reference the attached link ... converting ounces to ounces 
December 2nd, 2016, 08:25 AM  #3 
Member Joined: Nov 2016 From: United States Posts: 30 Thanks: 0 
That sounds good. I found that grated cheddar is 1cup = 3 oz I'll try to punch in those numbers. Thank you! Last edited by skipjack; December 2nd, 2016 at 10:26 AM. 
December 2nd, 2016, 08:31 AM  #4 
Member Joined: Nov 2016 From: United States Posts: 30 Thanks: 0 
Ok, so would I divide "as purchased cost" by unit cost which would be by 5 pounds or 80 oz? And where do I plug in the 32 oz for the quart? I am just not sure how to set up the problem? Any help would be sweet. Last edited by skipjack; December 2nd, 2016 at 10:26 AM. 
December 2nd, 2016, 08:58 AM  #5 
Member Joined: Nov 2016 From: United States Posts: 30 Thanks: 0 
I got it, I divided 28 by 80 oz and got .35 oz I then did the bridge method from 1 qt to oz and plugged in the 1 cup equals 3 oz which is, 12 12 oz x .35 = 4.20 I think that is correct. Any confirmations? Last edited by skipjack; December 2nd, 2016 at 10:27 AM. 
December 2nd, 2016, 09:40 AM  #6 
Math Team Joined: Jul 2011 From: Texas Posts: 2,429 Thanks: 1196 
\$4.20 for 12 weight ounces is correct

December 6th, 2016, 04:07 AM  #7 
Banned Camp Joined: Nov 2016 From: St. Louis, Missouri Posts: 28 Thanks: 4 Math Focus: arithmetic, fractions 
Divide 28 by five. You should come up with 5 and 3/5. One pound of your cheese will cost $5.60


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