document.write( "Question 1190156: \r
\n" ); document.write( "\n" ); document.write( "Three friends got the prize money worth ​$170,000. The first friend would get three times the amount of the third​ friend's portion. The third friend would get four times the amount of the second​ friend's portion. Determine the amount that each friend would receive.
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Algebra.Com's Answer #821733 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "A quick reading shows the first friend gets more than the third and the third gets more than the second. So, to avoid fractions, let c represent the smallest of the three amounts -- the amount the second friend gets.

\n" ); document.write( "Let x = amount second friend gets
\n" ); document.write( "Then 4x = amount the third friend gets (four times the amount the second gets)
\n" ); document.write( "Then 3(4x)=12x = amount the first friend gets (three times the amount the third gets)

\n" ); document.write( "The total is $17,000:

\n" ); document.write( "\"x%2B4x%2B12x=17000\"

\n" ); document.write( "Solve the equation using basic algebra; then answer the question
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