SOLUTION: millie works part time selling both hats and scarves. one week she earns $114 by selling 8 hats and 10 scarves. the following week she sold 12 hats and 6 scarves and earned 108. ho

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: millie works part time selling both hats and scarves. one week she earns $114 by selling 8 hats and 10 scarves. the following week she sold 12 hats and 6 scarves and earned 108. ho      Log On


   

Question 875049: millie works part time selling both hats and scarves. one week she earns $114 by selling 8 hats and 10 scarves. the following week she sold 12 hats and 6 scarves and earned 108. how much does she earn for each hat and each scarf she sells?
Answer by lwsshak3(11628) About Me  (Show Source):
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millie works part time selling both hats and scarves. one week she earns $114 by selling 8 hats and 10 scarves. the following week she sold 12 hats and 6 scarves and earned 108. how much does she earn for each hat and each scarf she sells?
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let x=price of each hat
let y=price of each scarf
..
8x+10y=114
12x+6y=108
..
24x+30y=342
24x+12y=216
subtract
18y=126
y=7
8x=114-10y=114-70=44
x=5.5
price of each hat=$5.50
price of each scarf=$7.00