SOLUTION: A merchant blends tea that sells for $3.45 a pound with tea that sells for $2.15 a pound to produce 80lb of a mixture that sells for $2.75 a pound
Then the mixture contain
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Then the mixture contain
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Question 260702: A merchant blends tea that sells for $3.45 a pound with tea that sells for $2.15 a pound to produce 80lb of a mixture that sells for $2.75 a pound
Then the mixture contains x lb of $3.45/lb tea and y lb of $2.15/lb tea
You can put this solution on YOUR website! This is a mixture problem. Here is a table based on the above information.
tea . . . . . . . . . . . . .$/lb . . . .. . . . . . lb . . . . . . . . . . . $
A . . . . . . . . . . . . . .($3.45) . . . . . . . x . . . . . . . . . . . ($3.45x)
B . . . . . . . . . . . . . .($2.15) . . . . . . . 80-x . . . . . . . . .$172 - $2.15x
mixture . . . . . . . . . ($2.75) . . . . . . .80 . . . . . . . . . . .$220
First, the variables x and y are there to confuse you. You only need x.
using the third column we get
(i)
combine like terms to get
(ii)
subtract 172 to get
(iii)
divide to get
(iv) x = 36.92
you need ~ 36.92 lb of the $3.45 tea and ~ 43.08 lb of the $2.15 tea.
these are unusual answers, but they work.
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