# SOLUTION: 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?

Algebra ->  Algebra  -> Percentage-and-ratio-word-problems -> SOLUTION: 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?      Log On

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 Click here to see ALL problems on Percentage-and-ratio-word-problems 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?Answer by Maths68(1474)   (Show Source): You can put this solution on YOUR website!Let Total pairs of shoes sold = x 60% of sold shoes = x*60%=x*60/100=x*3/5=3x/5 Cost of a pair of 60% sold shoes = \$40 Total Cost of 60% of sold shoes = 40*3x/5=8*3x=24x Cost of a pair sold shoes (Remaining) = 40-(40)*(25/100)= 40-(40)*(1/4)=40-10=\$30 40% of sold shoes (Remaining) = x*40%=x*40/100=x*2/5=2x/5 Total Cost of 40% of sold shoes (Remaining) = 2x/5 * 30=2x*6=12x Total cost of all shoes = Total Cost of 60% of sold shoes + Total Cost of 40% of sold shoes (Remaining) 2160=24x+12x 2160=36x Divide by 36 both sides 2160/36=36x/36 60=x x=60 60 pairs of shoes all together sold 40% of sold shoes (Remaining) = x*40%=x*40/100=x*2/5=2x/5=2(60)/5=2*12=24 60% of sold shoes = x*60%=x*60/100=x*3/5=3x/5=3(60)/5=36 24 pairs of shoes sold at 25% discount on per pair 36 pairs of shoes sold at \$40 per pair Check Total cost = Total Cost of 60% of shoes sold at \$40/pair + Total Cost of 40% 2160=36*40+24*30 2160=1440+720 2160=2160