SOLUTION: I'm having problems coming up with an equation to this mixture problem, perhaps you can help (you guys are awsome!) Two different teas are mixed to make a blend that will be sol

Question 275845: I'm having problems coming up with an equation to this mixture problem, perhaps you can help (you guys are awsome!)
Two different teas are mixed to make a blend that will be sold at a fair. Black tea is sells for $2.20 per pound, and orange pekoe tea sells for $3.00 per pound. How much of each shoould be used to obtain a 4 pound of a blend selling for $2.50?
I have tried 2.5 + 3 + = 4(2.5) + 2x, but having trouble.
Thanks for your help

Alex
avargas91702@hotmail.com
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two different teas are mixed to make a blend that will be sold at a fair.
Black tea is sells for $2.20 per pound, and orange pekoe tea sells for $3.00 per pound.
How much of each should be used to obtain a 4 pound of a blend selling for $2.50?
:
Let x = amt of $3 tea
it gives the resulting amt as 4 lb, therefore
(4-x) = amt $2.20 tea
:
A typical mixture equation:
3x + 2.2(4-x) = 2.5(4)
3x + 8.8 - 2.2x = 10
3x - 2.2x = 10 - 8.8
.8x = 1.2
x =
x = 1.5 lb of $3 tea required
:
I'll let you find the amt of 2.20 tea
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