SOLUTION: Tea that sells for $2.00 a pound is mixed with a different tea that sells for $5.00 a pound to produce 40 pounds of a custom blended tea that will sell for $4.25 a pound. How man

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Question 1197188: Tea that sells for $2.00 a pound is mixed with a different tea that sells for
$5.00 a pound to produce 40 pounds of a custom blended tea that will
sell for $4.25 a pound. How many pounds of the less expensive tea
should be used in the mixture?
(1) 10
(2) 15
(3) 25
(4) 30
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the number of pounds of the $2 tea.

Then the number of pounds of the other tea is 40-x.


Write the total money equation

    2x + 5*((40-x) = 4.25*40 dollars.


Simplify and find x

    2x + 200 - 5x = 170

       -3x = 170 - 200 = -30

         x             = %28-30%29%2F%28-3%29 = 10.


ANSWER.  10 pounds of the less expensive tea should be used.

Solved.



Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

you want to produce 40 pounds of a mixture that will sell for $4.25 a pound

Let x+and 40-x represent the amount of the $2.00 and $5.00 mixtures respectively

+2.00x+%2B+5.00%2840-x%29+=4.25%2A40
Solve for x
200+-+3x=170
200+-+170=3x
+30=3x
x=10 pounds

answer: 10+pounds of the less expensive tea should be used in the mixture