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?
Found 2 solutions by JulietG, josmiceli:
Answer by JulietG(1812)   (Show Source):
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?
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S = 2P [the sweater was twice the price of the pants]
H = .75P [The pair of shoes was 3/4 of the cost of the pair of pants]
S + H + P = 12,500
Substitute the known values of S and H from the top equations into the bottom equation.
S + H + P = 12,500
(2P) + (.75P) + P = 12,500
Add
3.75P = 12,500
Divide each side by 3.75
P = 3333.33
If the pants cost $3,333.33, then the sweater costs twice that, or $6666.67 (rounding up). The shoes were  the cost of the pants, or .75 * 3333.33, or $2,500.
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Shoes = $2500
Pants = $3333.33
Sweater = $6666.67
Add them together: 2500+3333.33+6666.67 = $12,500.00
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I think that money could have been better spent!
Answer by josmiceli(19441)  (Show Source):
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