SOLUTION: Sally wants to buy some things for her hair. She can buy 2 scrunchies & 4 barretts for $12.50 or 1 scrunchie & 6 Barretts for $12.25. How much does the scrunchie cost theat she wan

Question 39820: Sally wants to buy some things for her hair. She can buy 2 scrunchies & 4 barretts for $12.50 or 1 scrunchie & 6 Barretts for $12.25. How much does the scrunchie cost theat she wants to buy?
Thank you
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Let x be the number of scrunchies and y be the number of barrettes.
So we change the English into algebra this way:
2x + 4y = 12.50
x + 6y = 12.25
If we double the second equation and subtract it from the first, we can eliminate the x's...
2x + 4y = 12.50
-(2x + 12y = 24.50)
and we have
-8y = -12
y = $1.50
and by plugging this into either of the original equations, we find
x = $3.25
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