document.write( "Question 1135547: Ahmed wants to pay back his debt to the bank. He has already paid back 60% of the initial debt. His family offered to help by paying 33% of the initial debt, so now he only needs an additional $105 in order to pay off the debt. What was the initial amount of the debt Chris owed to the bank? * \n" ); document.write( "

Algebra.Com's Answer #753186 by jim_thompson5910(35256) $\"\"$ $\"About$

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\"He has already paid back 60% of the initial debt. His family offered to help by paying 33% of the initial debt\"\r
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\n" ); document.write( "\n" ); document.write( "So he has 60% + 33% = 93% of the debt taken care of leaving 100% - 93% = 7% remaining\r
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\n" ); document.write( "\n" ); document.write( "That 7% is represented by $105 since he needs this amount to fully pay off the debt. \r
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\n" ); document.write( "\n" ); document.write( "Let x be the amount of total debt initially owed.
\n" ); document.write( "7% of x is the same as saying 0.07*x since 7% = 7/100 = 0.07
\n" ); document.write( "the \"of\" means \"multiply\"\r
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\n" ); document.write( "\n" ); document.write( "Set 0.07x equal to 105 and solve for x
\n" ); document.write( "0.07x = 105
\n" ); document.write( "0.07x/0.07 = 105/0.07 <<-- divide both sides by 0.07
\n" ); document.write( "x = 1500\r
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\n" ); document.write( "Answer:
\n" ); document.write( "The initial amount of the debt was $1500 \n" ); document.write( "

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