document.write( "Question 1060704: Billy went to the store and bought 5 pants and 3 shirts for $145. He went again the
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document.write( "next day and bought 2 pants and 5 shirts for $135. What is the cost of a pants and a
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document.write( "shirt? \n" );
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Algebra.Com's Answer #675569 by addingup(3677)![]() ![]() You can put this solution on YOUR website! 5p+3s = 145 multiply all times 5 \n" ); document.write( "2p+5s = 135 multiply all times -3 \n" ); document.write( "--------------------- \n" ); document.write( "New equations (after multiplication. Add them together: \n" ); document.write( "25p+15s = 725 \n" ); document.write( "+ \n" ); document.write( "-6p-15s = -405 \n" ); document.write( "19p-0s = 320 \n" ); document.write( "rewrite: \n" ); document.write( "19p = 320 divide both sides by 19 \n" ); document.write( "p = 16.84 is the price of one pair of pants. \n" ); document.write( ": \n" ); document.write( "Now for the shirts: \n" ); document.write( "5p+3s = 145 multiply all times 2 \n" ); document.write( "2p+5s = 135 multiply all times -5 \n" ); document.write( "--------------------- \n" ); document.write( "New equations (after multiplication. Add them together: \n" ); document.write( "10p+6s = 290 \n" ); document.write( "+ \n" ); document.write( "-10p-25s = -675 \n" ); document.write( "0p-19s = -385 \n" ); document.write( "rewrite \n" ); document.write( "-19s = -385 divide both sides by -19, and remember -/- = + \n" ); document.write( "s = 20.26 \n" ); document.write( "----------- \n" ); document.write( "Or you can take a shortcut for the shirts: \n" ); document.write( "145-(16.84*5))/3 = 20.26 \n" ); document.write( "-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.- \n" ); document.write( "Check - Put these numbers in the original equations (I'll do one, you can do the other if you want): \n" ); document.write( "5p+3s = 145 \n" ); document.write( "5(16.84)+3(20.26) = 145 \n" ); document.write( "84.20+60.78 = 144.98 = 145 there is a difference of 0.02 due to the rounding of decimals. \n" ); document.write( ": \n" ); document.write( "John\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |