Question 180209
You can solve this by a system of linear equations:

a)  6A  + 10B = $1.36
b) 10A  +  6B = $1.20

a) -60A  - 100B = $-13.60  <----- multiply by -10
b)  60A  +  36B = $  7.20  <----- multiply by   6

This will give you a new equation easier to solve
c) -64B = $-6.40

If you solve for B, then you will have to divide -6.40 by -64.
B= $0.10

You can plug in this result in any of the above equations, and it will give you the value of A.
a)  6A  + 10($0.10) = $1.36
    6A  +    1     =  $1.36
         6A        =  $0.36
If you solve for A, then you will have to divide 0.36 by 6
A= $0.06

TO VERIFY YOUR ANSWER:
a)  6($O.O6) + 10($O.10) = $1.36
b) 10($0.06) +  6($0.10) = $1.20