document.write( "Question 1180977: A shop sells calculators and phones.\r
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document.write( "2/3 of the calculators is equal to 6/11 of the phones in the shop.\r
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document.write( "There are a total of 260 phones and calculators in the shop.\r
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document.write( "Each calculator at the shop cost the shopkeeper $18.\r
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document.write( "If the shopkeeper sells all the calculators at a price of $23.45 each, how much will he earn? \n" );
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Algebra.Com's Answer #810787 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "A key to one way to solve a problem like this, in which the given information is that 2/3 of the calculators is equal to 6/11 of the phones, is to rewrite the two fractions with like NUMERATORS. \n" ); document.write( "2/3 = 6/9 \n" ); document.write( "So 6/9 of the calculators is equal to 6/11 of the phones. \n" ); document.write( "That means there are 9 calculators for every 11 phones. \n" ); document.write( "So let the numbers of calculators be 9x and the number of phones be 11x. The total number of calculators and phones is 260: \n" ); document.write( "9x+11x=260 \n" ); document.write( "20x=260 \n" ); document.write( "x=13 \n" ); document.write( "number of calculators: 9(13)=117 \n" ); document.write( "number of phones: 11(13)=143 \n" ); document.write( "The profit for selling each calculator is $23.45-$18 = $5.45. \n" ); document.write( "The profit from selling 117 calculators is 117($5.45) = $637.65. \n" ); document.write( "It must be assumed, from the way the problem is presented, that \"how much will he earn\" is asking for the profit he gets from selling the calculators -- not considering the phones. \n" ); document.write( "ANSWER: $637.65 \n" ); document.write( " \n" ); document.write( " |