document.write( "Question 891917: Maria went to the shopping mall to spend a total of $12,500.00 on a pair of pants, a sweater and a pair of shoes. The pair of shoes was 3/4 of the cost of the pair of pants and the sweater was twice the price of the pants. What are the costs of the items? \n" ); document.write( "
Algebra.Com's Answer #540149 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! Wow! Maria must be shopping in Las Vegas or the South of France. $12,500 on three articles of clothing? \n" ); document.write( ". \n" ); document.write( "S = 2P [the sweater was twice the price of the pants] \n" ); document.write( "H = .75P [The pair of shoes was 3/4 of the cost of the pair of pants] \n" ); document.write( "S + H + P = 12,500 \n" ); document.write( "Substitute the known values of S and H from the top equations into the bottom equation. \n" ); document.write( "S + H + P = 12,500 \n" ); document.write( "(2P) + (.75P) + P = 12,500 \n" ); document.write( "Add \n" ); document.write( "3.75P = 12,500 \n" ); document.write( "Divide each side by 3.75 \n" ); document.write( "P = 3333.33 \n" ); document.write( "If the pants cost $3,333.33, then the sweater costs twice that, or $6666.67 (rounding up). The shoes were \n" ); document.write( ". \n" ); document.write( "Shoes = $2500 \n" ); document.write( "Pants = $3333.33 \n" ); document.write( "Sweater = $6666.67 \n" ); document.write( "Add them together: 2500+3333.33+6666.67 = $12,500.00 \n" ); document.write( ". \n" ); document.write( "I think that money could have been better spent! \n" ); document.write( " |