document.write( "Question 288516: natalie spent $135 on new shorts and tops. the shorts were 15% off and the tops were 20% off. if she saved a total of $24, how much did she spend on tops? \n" ); document.write( "

Algebra.Com's Answer #209130 by oberobic(2304) $\"\"$ $\"About$

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t = $ spent on tops
\n" ); document.write( "s = $ spent on shorts
\n" ); document.write( "t + s = $135
\n" ); document.write( "So, t = $135-s
\n" ); document.write( ".
\n" ); document.write( "Define the discount equation:
\n" ); document.write( ".2t + .15s = $24
\n" ); document.write( ".
\n" ); document.write( "Multiply both sides by 100 to get rid of decimals
\n" ); document.write( "20t + 15s = 2400
\n" ); document.write( ".
\n" ); document.write( "Substitute t = 135-s
\n" ); document.write( ".
\n" ); document.write( "20(135-s) + 15s = 2400
\n" ); document.write( "2700 - 20s + 15s = 2400
\n" ); document.write( ".
\n" ); document.write( "Collect and simplify
\n" ); document.write( "-5s = -300
\n" ); document.write( "s = 60
\n" ); document.write( ".
\n" ); document.write( "Substitute s=60 to find t.
\n" ); document.write( ".
\n" ); document.write( "t + s = 135
\n" ); document.write( "t + 60 = 135
\n" ); document.write( "t = 75
\n" ); document.write( ".
\n" ); document.write( "Check using the discount equation.
\n" ); document.write( ".
\n" ); document.write( ".2t + .15s = 24 ??
\n" ); document.write( ".2(75) = 15
\n" ); document.write( ".15(60) = 9
\n" ); document.write( "15+9 =24
\n" ); document.write( "Correct.
\n" ); document.write( ".
\n" ); document.write( "Answer:
\n" ); document.write( "How much did she spend on tops? $75.
\n" ); document.write( ".
\n" ); document.write( "Done \n" ); document.write( "

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