document.write( "Question 337092: Hi- I teach Adult Basic Education, mostly I help students pass the GED test. I am no Mathematician, and sometimes I get a question that I can not explain the Mathematics behind solving. This is an example of one such problems. \r
\n" ); document.write( "\n" ); document.write( "James Torres works in an electircal equiptment factory and does the final assembly on power trasfer units. He keeps a log of the number of units he completes each day. He works five days a week. Below is his log for the week of October 2 through October 6.\r
\n" ); document.write( "\n" ); document.write( "Production Log
\n" ); document.write( "Name: James Torres
\n" ); document.write( "Week: 10/2-10/6\r
\n" ); document.write( "\n" ); document.write( "Date No. units Assembled
\n" ); document.write( "10/2 12
\n" ); document.write( "10/3 15
\n" ); document.write( "10/4 18
\n" ); document.write( "10/5 17
\n" ); document.write( "10/6 16\r
\n" ); document.write( "\n" ); document.write( "Weekly total ______
\n" ); document.write( "Daily average ______\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Here is the question:
\n" ); document.write( "The total for 10/3 is how much higher than the total for 10/2?
\n" ); document.write( "a. 3%
\n" ); document.write( "b. 12.5%
\n" ); document.write( "c. 20%
\n" ); document.write( "d. 25%\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The answer is d. 25%.. . but WHY? The only rational I can come up with is 3 is the difference of 15 and 12, and 3 is 25% of 12. But why do I do that to solve this problem? How do I explain this to my students? Most of my students are visual learners so anything I can do to help me understand this, will in turn help them..\r
\n" ); document.write( "\n" ); document.write( "Thanks so much for taking the time to explain this to me, I really appreciate it.
\n" ); document.write( "

Algebra.Com's Answer #241592 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
10/2 12
\n" ); document.write( "10/3 15
\n" ); document.write( "10/4 18
\n" ); document.write( "10/5 17
\n" ); document.write( "10/6 16
\n" ); document.write( "Weekly total ______
\n" ); document.write( "Daily average ______ \r
\n" ); document.write( "\n" ); document.write( "Here is the question:
\n" ); document.write( "The total for 10/3 is how much higher than the total for 10/2?
\n" ); document.write( "a. 3%
\n" ); document.write( "b. 12.5%
\n" ); document.write( "c. 20%
\n" ); document.write( "d. 25% \r
\n" ); document.write( "\n" ); document.write( "The answer is d. 25%.. . but WHY? The only rational I can come up with is 3 is the difference of 15 and 12, and 3 is 25% of 12. But why do I do that to solve this problem? How do I explain this to my students? Most of my students are visual learners so anything I can do to help me understand this, will in turn help them..
\n" ); document.write( "Thanks so much for taking the time to explain this to me, I really appreciate it.
\n" ); document.write( "-------------
\n" ); document.write( "Right.
\n" ); document.write( "The quantitative gain from 10/2 to 10/3 is 15-12.
\n" ); document.write( "That is a gain of 3 from a base of 12
\n" ); document.write( "So the percent gain is figured from a base of 12.
\n" ); document.write( "You could set up an equation to figure the percent (per one-hundred)
\n" ); document.write( "gain as follows:
\n" ); document.write( "x/100 = 3/12
\n" ); document.write( "x = 100(3/12)
\n" ); document.write( "x = 100(1/4)
\n" ); document.write( "x = 25
\n" ); document.write( "The percent gain is 25%.
\n" ); document.write( "============================
\n" ); document.write( "Visualizing this gain with blocks might also be a help.
\n" ); document.write( "Compare 12 blocks to 15 blocks to see the gain.
\n" ); document.write( "---
\n" ); document.write( "Keep duplicating the 12 to 15 picture till you have x to 100
\n" ); document.write( "The x will be seen to be 25.
\n" ); document.write( "=====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
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