document.write( "Question 985257: Hi, I have a worded question on which I am experiencing extreme trouble with. I was hoping you could help me with? the question states, \"Ms. Aquay Shun invested a fourth of her money in stocks, a fifth of her money in a frozen yogurt store and a sixth of her money in her child's college fund. She put the remaining $32,000 in the bank. What is the total amount she has invested or saved.\" Thanks. \n" ); document.write( "
Algebra.Com's Answer #606086 by ikleyn(52794)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Let  x  be the total amount of the money Ms. Aquay Shun invested.\r
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\n" ); document.write( "\n" ); document.write( "Then she invested  \"x%2F4\"  dollars in stocks,  another  \"x%2F5\"  dollars in a frozen yogurt store,  and yet another  \"x%2F6\"  dollars in her child's college fund  (very wisely!).\r
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\n" ); document.write( "\n" ); document.write( "In total,  Ms. Aquay Shun invested so far  \"x%2F4\" + \"x%2F5\" + \"x%2F6\" dollars,  or  (using the common denominator,  which is  60)\r
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\n" ); document.write( "\n" ); document.write( "\"%2815x+%2B+12x+%2B+10x%29%2F60\" = \"37x%2F60\"  dollars.\r
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\n" ); document.write( "\n" ); document.write( "How much did she invested in the bank? - The rest,  i.e.   \"x\" - \"37x%2F60\" = \"%28%2860+-+37%29x%29%2F60\" = \"23x%2F60\".  And it is exactly $32,000. \r
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\n" ); document.write( "\n" ); document.write( "So,  you have an equation \r
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\n" ); document.write( "\n" ); document.write( "\"23x%2F60\" = \"32000\".\r
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\n" ); document.write( "\n" ); document.write( "It gives you  \"x\" = \"%2832000%2A60%29%2F23\" = $83478.26.\r
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\n" ); document.write( "\n" ); document.write( "Answer.  The total amount Ms. Aquay Shun has invested is  $83478.26. \r
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