document.write( "Question 143324: Lucinda bought two record albums and a compat disc for a total of $28.00. The price of each record album was 66 2/3% (sixty-six and two-thirds) of the price od the compact disc. How much did Lucinda pay for a record album? (Note: Both record albums cost the same) \n" ); document.write( "
Algebra.Com's Answer #104307 by jojo14344(1513)![]() ![]() ![]() You can put this solution on YOUR website! First let us assign variables for the following items: \n" ); document.write( "\"x\" = price of 1st record album \n" ); document.write( "\"y\" = price of 2nd record album \n" ); document.write( "\"z\" = price of compact disc \n" ); document.write( "So, \"x+y+z=$28\" right? ------------------ eqn 1 \n" ); document.write( "But there are conditions, price of \"x\" & \"y\" is 66-2/3% of \"z\". To show, \n" ); document.write( "\"x\" = 66-2/3%(z) ------------ condition 1 \n" ); document.write( "\"y\" = 66-2/3%(z) ------------ condition 2 \n" ); document.write( "Substitute these conditions in eqn 1, \n" ); document.write( "66-2/3%(z) + 66-2/3%(z) + z =$28 \n" ); document.write( "2/3(z) + 2/3(z) + z =$28 \n" ); document.write( "Note: how we get 2/3? divide 66-2/3% by 100 to remove the % \n" ); document.write( "continuing, \n" ); document.write( "2-1/3(z) = $28 \n" ); document.write( "z= $12, price for the compact disc \n" ); document.write( "For the recorded albums, $28-$12 = $16, price for the 2 recorded albums. \n" ); document.write( "Since they have same price, $16/2 = $8, price for each album \n" ); document.write( "In doubt? Go back condition 1 or 2, \n" ); document.write( "x= 66-2/3%(z) = 2/3($12) \n" ); document.write( "x= $8, also price of \"y\" \n" ); document.write( "Also thru eqn 1, \n" ); document.write( "$8+$8=$12=$28 \n" ); document.write( "$28=$28, cool! \n" ); document.write( "Thank you, \n" ); document.write( "Jojo \n" ); document.write( " |