document.write( "Question 1119629: Hi
\n" ); document.write( "stock B cost twice as much as stock A , but the profit on B was only 3/4 as much as on A when both were sold.\r
\n" ); document.write( "\n" ); document.write( "what was the cost of each stock if;
\n" ); document.write( "a)the total cost was $3000.00
\n" ); document.write( "b)the total selling price $2,700 resulted in an average 20% profit on the cost.\r
\n" ); document.write( "\n" ); document.write( "thanks \n" ); document.write( "

Algebra.Com's Answer #735229 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+c+\"$ = the cost of stock A
\n" ); document.write( " $\"+2c+\"$ = the cost of stock B
\n" ); document.write( "Let $\"+p+\"$ = the profit from selling stock A
\n" ); document.write( " $\"+%283%2F4%29%2Ap+\"$ = the profit from selling stock B
\n" ); document.write( "--------------------------------------------
\n" ); document.write( "(a)
\n" ); document.write( " $\"+c+%2B+2c+=+3000+\"$
\n" ); document.write( " $\"+3c+=+3000+\"$
\n" ); document.write( " $\"+c+=+1000+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+2c+=+2000+\"$
\n" ); document.write( "Stock A cost $1,000
\n" ); document.write( "Stock B cost $ 2,000
\n" ); document.write( "------------------------
\n" ); document.write( "(b)
\n" ); document.write( "The total selling price for A and B was both costs
\n" ); document.write( "plus both profits, so
\n" ); document.write( "(1) $\"+c+%2B+p+%2B+2c+%2B+%283%2F4%29%2Ap+=+27000+\"$
\n" ); document.write( "The average of the profits is
\n" ); document.write( " $\"+%28+p+%2B+%283%2F4%29%2Ap+%29+%2F+2+\"$
\n" ); document.write( "and this is equal to
\n" ); document.write( "(2) $\"+%28+p+%2B+%283%2F4%29%2Ap+%29+%2F+2+=+.2%2A%28+c+%2B+2c+%29+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "(1) $\"+3c+%2B+%287%2F4%29%2Ap+=+27000+\"$
\n" ); document.write( "(1) $\"+12c+%2B+7p+=+108000+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+%28+%28+7%2F4%29%2Ap+%29+%2F+2++=+.2%2A3c+\"$
\n" ); document.write( "(2) $\"+%28+7%2F4+%29%2Ap+=+1.2c+\"$
\n" ); document.write( "(2) $\"+7p+=+4.8c+\"$
\n" ); document.write( "(2) $\"+p+=+%2848%2F70%29%2Ac+\"$
\n" ); document.write( "(2) $\"+p+=+%2824%2F35%29%2Ac+\"$
\n" ); document.write( "Plug this into (1)
\n" ); document.write( "(1) $\"+12c+%2B+7%2A%28+24%2F35+%29%2Ac+=+108000+\"$
\n" ); document.write( "(1) $\"+12c+%2B+%2824%2F5%29%2Ac+=+108000+\"$
\n" ); document.write( "(1) $\"+60c+%2B+24c+=+540000+\"$
\n" ); document.write( "(1) $\"+84c+=+540000+\"$
\n" ); document.write( "(1) $\"+c+=+6428.57%0D%0Aand%0D%0A%7B%7B%7B+2c+=+12857.14+\"$
\n" ); document.write( "------------------
\n" ); document.write( "A cost $6,428.57
\n" ); document.write( "B cost $12,857.14
\n" ); document.write( "------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+3c+%2B+%287%2F4%29%2Ap+=+27000+\"$
\n" ); document.write( "(1) $\"+3%2A6428.57+%2B+%287%2F4%29%2Ap+=+27000+\"$
\n" ); document.write( "(1) $\"+19285.71+%2B+%287%2F4%29%2Ap+=+27000+\"$
\n" ); document.write( "(1) $\"+%287%2F4%29%2Ap+=+7714.29+\"$
\n" ); document.write( "(1) $\"+p+=+%284%2F7%29%2A7714.29+\"$
\n" ); document.write( "(1) $\"+p+=+4408.17+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+%287%2F4%29%2Ap+=+1.2c+\"$
\n" ); document.write( "(2) $\"+7714.29+=+1.2c+\"$
\n" ); document.write( "(2) $\"+c+=+6428.58+\"$
\n" ); document.write( "close enough
\n" ); document.write( "--------------------------
\n" ); document.write( "Definitely get a 2nd opinion on this if you can\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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