document.write( "Question 308333: A college student invested part of a $25,000 inheritance at 7% interest and the rest at 6%. If his annual interest is $1,671 how much did he invest at 6%? If I told you the answer is $8,000, in your own words, using complete sentences, explain how you would solve the problem. \n" ); document.write( "
Algebra.Com's Answer #220451 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
Let's say he invested x at 6%. Then he has 25000-x to invest at 7%. \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: x=7900.00000000002.
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  • Graphical form: Equation \"x%2A0.06%2B%2825000-x%29%2A0.07=1671\" was fully solved.
  • Text form: x*0.06+(25000-x)*0.07=1671 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+x%2A0.06%2B%2825000-x%29%2A0.07=1671+%29\"
    For tutors: simplify_cartoon( x*0.06+(25000-x)*0.07=1671 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"x%2A0.06%2B%28highlight_red%28+25000+%29-x%29%2A0.07=1671\".
Moved \"25000\" to the right of expression
It becomes \"x%2A0.06%2B%28-x%2Bhighlight_green%28+25000+%29%29%2A0.07=1671\".
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Look at \"x%2A0.06%2B%28-x%2B25000%29%2A0.07=highlight_red%28+1671+%29\".
Moved these terms to the left \"highlight_green%28+-1671+%29\"
It becomes \"x%2A0.06%2B%28-x%2B25000%29%2A0.07-highlight_green%28+1671+%29=0\".
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Look at \"x%2A0.06%2Bhighlight_red%28+%28-x%2B25000%29%2A0.07+%29-1671=0\".
Expanded term \"0.07\" by using associative property on \"%28-x%2B25000%29\"
It becomes \"x%2A0.06-highlight_green%28+0.07%2Ax+%29%2Bhighlight_green%28+0.07%2A25000+%29-1671=0\".
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Look at \"x%2A0.06-0.07%2Ax%2Bhighlight_red%28+0.07%2A25000+%29-highlight_red%28+1671+%29=0\".
Replace constants in expression: \"highlight_red%28+0.07%2A25000+%29\",\"highlight_red%28+-1671+%29\" with \"highlight_green%28+79.0000000000002+%29\"
It becomes \"highlight_green%28+79.0000000000002+%29%2Bx%2A0.06-0.07%2Ax=0\".
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Look at \"highlight_red%28+79.0000000000002+%29%2Bx%2A0.06-0.07%2Ax=0\".
Moved \"79.0000000000002\" to the right of expression
It becomes \"x%2A0.06-0.07%2Ax%2Bhighlight_green%28+79.0000000000002+%29=0\".
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Look at \"highlight_red%28+x%2A0.06+%29-highlight_red%28+0.07%2Ax+%29%2B79.0000000000002=0\".
Eliminated similar terms \"highlight_red%28+x%2A0.06+%29\",\"highlight_red%28+-0.07%2Ax+%29\" replacing them with \"highlight_green%28+%280.06-0.07%29%2Ax+%29\"
It becomes \"highlight_green%28+%280.06-0.07%29%2Ax+%29%2B79.0000000000002=0\".
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Look at \"%28highlight_red%28+0.06+%29-highlight_red%28+0.07+%29%29%2Ax%2B79.0000000000002=0\".
Added fractions or integers together
It becomes \"%28-highlight_green%28+1%2F100+%29%29%2Ax%2B79.0000000000002=0\".
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Look at \"highlight_red%28+%28-highlight_red%28+1%2F100+%29%29%2Ax+%29%2B79.0000000000002=0\".
Remove unneeded parentheses around factor \"highlight_red%28+1+%29\",\"highlight_red%28+1%2F100+%29\"
It becomes \"-highlight_green%28+1+%29%2Fhighlight_green%28+100+%29%2Ax%2B79.0000000000002=0\".
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Look at \"highlight_red%28+-1%2F100%2Ax%2B79.0000000000002+%29=0\".
Solved linear equation \"highlight_red%28+-1%2F100%2Ax%2B79.0000000000002=0+%29\" equivalent to -0.01*x+79.0000000000002 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
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Universal Simplifier and Solver

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Done!
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