document.write( "Question 7368: Jackie makes a batch of cookies using a 5 : 2 ratio of chocolate chips to candies. If each cookie has an average of six candies, how many chocolate chips must Jackie add to the dough to make a dozen cookies?
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\n" ); document.write( " b) 180
\n" ); document.write( " c) 360
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Algebra.Com's Answer #4090 by ichudov(507) $\"\"$ $\"About$

You can put this solution on YOUR website!
I have not eaten cookies for 2 years after I lost 50 lbs.\r
\n" ); document.write( "\n" ); document.write( "If there are six candies in a cookie, then there are 6*12 candies in 12 cookies, or 72 candies.\r
\n" ); document.write( "\n" ); document.write( " $\"chips%2Fcandies+=+5%2F2\"$ . Since we know that candies = 72, \r
\n" ); document.write( "\n" ); document.write( " $\"chips%2F72+=+5%2F2\"$ , multiply both sides by 72\r
\n" ); document.write( "\n" ); document.write( " $\"chips+=+72%2A5%2F2\"$ \r
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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This is an equation! Solutions: chips=180.
Graphical form: Equation $\"chips=72%2A5%2F2\"$ was fully solved.
Text form: chips=72*5/2 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+chips=72%2A5%2F2+%29\"$
For tutors: simplify_cartoon( chips=72*5/2 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"chips=highlight_red%28+72+%29%2A5%2Fhighlight_red%28+2+%29\"$ .
Factors 72 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes $\"chips=highlight_green%28+36+%29%2A5%2Fhighlight_green%28+1+%29\"$ .
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Look at $\"chips=highlight_red%28+36+%29%2Ahighlight_red%28+5+%29%2F1\"$ .
Multiplied numerator integers
It becomes $\"chips=highlight_green%28+180+%29%2F1\"$ .
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Look at $\"chips=180%2Fhighlight_red%28+1+%29\"$ .
Remove extraneous '1' from product $\"highlight_red%28+1%2F1+%29\"$
It becomes $\"chips=180\"$ .
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Look at $\"chips=highlight_red%28+180+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-180+%29\"$
It becomes $\"chips-highlight_green%28+180+%29=0\"$ .
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Look at $\"highlight_red%28+chips-180+%29=0\"$ .
Solved linear equation $\"highlight_red%28+chips-180=0+%29\"$ equivalent to chips-180 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: chips=180.

Universal Simplifier and Solver

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Done!

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