document.write( "Question 503320: Philip sold a certain number of athletic shoes for $2160. He sold 60% of them at $40 each and the rest at 25% discount. How many pairs of athletic shoes did sell at 25% discount? \n" ); document.write( "
Algebra.Com's Answer #339240 by Maths68(1474)\"\" \"About 
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Let
\n" ); document.write( "Total pairs of shoes sold = x
\n" ); document.write( "60% of sold shoes = x*60%=x*60/100=x*3/5=3x/5
\n" ); document.write( "Cost of a pair of 60% sold shoes = $40
\n" ); document.write( "Total Cost of 60% of sold shoes = 40*3x/5=8*3x=24x
\n" ); document.write( "Cost of a pair sold shoes (Remaining) = 40-(40)*(25/100)= 40-(40)*(1/4)=40-10=$30
\n" ); document.write( "40% of sold shoes (Remaining) = x*40%=x*40/100=x*2/5=2x/5
\n" ); document.write( "Total Cost of 40% of sold shoes (Remaining) = 2x/5 * 30=2x*6=12x
\n" ); document.write( "Total cost of all shoes = Total Cost of 60% of sold shoes + Total Cost of 40% of sold shoes (Remaining)
\n" ); document.write( "2160=24x+12x
\n" ); document.write( "2160=36x
\n" ); document.write( "Divide by 36 both sides
\n" ); document.write( "2160/36=36x/36
\n" ); document.write( "60=x
\n" ); document.write( "x=60
\n" ); document.write( "60 pairs of shoes all together sold
\n" ); document.write( "40% of sold shoes (Remaining) = x*40%=x*40/100=x*2/5=2x/5=2(60)/5=2*12=24
\n" ); document.write( "60% of sold shoes = x*60%=x*60/100=x*3/5=3x/5=3(60)/5=36
\n" ); document.write( "24 pairs of shoes sold at 25% discount on per pair
\n" ); document.write( "36 pairs of shoes sold at $40 per pair\r
\n" ); document.write( "\n" ); document.write( "Check
\n" ); document.write( "Total cost = Total Cost of 60% of shoes sold at $40/pair + Total Cost of 40%
\n" ); document.write( "2160=36*40+24*30
\n" ); document.write( "2160=1440+720
\n" ); document.write( "2160=2160
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