How much tea worth $0.93 per pound must be mixed with tea worth $0.75 per pound to produce 10 pounds worth $0.85 per pound?  Choose the most appropriate option:  A) 2 2⁄9  B) 3 1⁄2  C) 4 4⁄9  D) 5 5⁄9  E) 9 1⁄2
Let weight of tea worth .75 $ = w1   and weight of tea worth .93 $ = w2   w1 + w2 = 10 --- equation 1   .85 = ( w1*.75 + w2* .93 )/(w1+ w2 )   =&gt; .85 w1 + .85 w2 = .75 w1 + .93 w2   =&gt; .10 w1 -.08 w2 = 0   =&gt; 10 w1 - 8 w2 = 0 --- equation 2   From 1 ,   8 w1 + 8 w2 = 80 --- equation 3   From equations 2 and 3 , we get   18 w1 = 80   =&gt; w1 = 40/9   and w2 = 50/9   Answer 5 5⁄9
<result>D</result>
How much tea worth $0.93 per pound must be mixed with tea worth $0.75 per pound to produce 10 pounds worth $0.85 per pound?