document.write( "Question 389013: A cook uses fifteen 2-kg bottles of cooking-oil over a 4-week period. If he decides to buy 5-kg tins of oil instead, how many tins of cooking oil will he use over a 10-week period if the rate of using it remains unchanged?
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Algebra.Com's Answer #275503 by jerryguo41(197) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%2815+2-kg+bottles%29+%2F+%284-week+period%29+=+%28x+5-kg+tins%29+%2F+%2810-week+period%29\"$
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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This is an equation! Solutions: x=15.
Graphical form: Equation $\"%2815%2A2%29%2F4=5x%2F10\"$ was fully solved.
Text form: (15*2)/4=5x/10 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+%2815%2A2%29%2F4=5x%2F10+%29\"$
For tutors: simplify_cartoon( (15*2)/4=5x/10 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"highlight_red%28+%28highlight_red%28+15%2A2+%29%29%2F4+%29=5x%2F10\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+15+%29\"$ , $\"highlight_red%28+2+%29\"$
It becomes $\"highlight_green%28+15+%29%2Ahighlight_green%28+2+%29%2F4=5x%2F10\"$ .
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Look at $\"15%2Ahighlight_red%28+2+%29%2Fhighlight_red%28+4+%29=5x%2F10\"$ .
Factors 2 and 4 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes $\"15%2Ahighlight_green%28+1+%29%2Fhighlight_green%28+2+%29=5x%2F10\"$ .
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Look at $\"highlight_red%28+15+%29%2Ahighlight_red%28+1+%29%2F2=5x%2F10\"$ .
Multiplied numerator integers
It becomes $\"highlight_green%28+15+%29%2F2=5x%2F10\"$ .
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Look at $\"15%2F2=highlight_red%28+5+%29%2Ax%2Fhighlight_red%28+10+%29\"$ .
Factors 5 and 10 have greatest common factor (GCF) of 5. Reducing fraction.
It becomes $\"15%2F2=highlight_green%28+1+%29%2Ax%2Fhighlight_green%28+2+%29\"$ .
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Look at $\"15%2F2=highlight_red%28+1+%29%2Ax%2F2\"$ .
Remove extraneous '1' from product $\"highlight_red%28+1+%29\"$
It becomes $\"15%2F2=x%2F2\"$ .
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Look at $\"15%2F2=highlight_red%28+x%2F2+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-x%2F2+%29\"$
It becomes $\"15%2F2-highlight_green%28+x%2F2+%29=0\"$ .
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Look at $\"highlight_red%28+15%2F2+%29-x%2F2=0\"$ .
Moved $\"15%2F2\"$ to the right of expression
It becomes $\"-x%2F2%2Bhighlight_green%28+15%2F2+%29=0\"$ .
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Look at $\"highlight_red%28+-x%2F2%2B15%2F2+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-x%2F2%2B15%2F2=0+%29\"$ equivalent to -0.5*x+7.5 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=15.

Universal Simplifier and Solver

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Done!

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