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 )

=> .85 w1 + .85 w2 = .75 w1 + .93 w2

=> .10 w1 -.08 w2 = 0

=> 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

=> w1 = 40/9

and w2 = 50/9

Answer D , which is in mixed fraction.

Alternatively , we can use scale method

.75 -----.85 ---- .93

.85 is at a distance of .1 from .75 and .08 from .93

The distances of .85 from .75 and 93 are in ratio of 10 : 8 , that is 5:4

Therefore , the weights will be in inverse proporation 4:5

Therefore , w2 = 5/(4+5) * 10 = 50/9

Alternatively, We can also use estimation here and eliminate options A, B and C as the weight of .93 $ variant

has to be more than 50% of 10 pound , i.e 5 pounds . If w1=w2 , then resultant mix would have been of .84 $.

We can also eliminate option E because then the resultant mix will be very close to .93 , only marginally less .

_________________

When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford

The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long

+1 Kudos if you find this post helpful