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B. A shirt costs $15, and a pair of shoes costs $20.

Step-by-step explanation:

Let s = price of 1 shirt.

Let p = price of 1 pair of shoes.

Adam:

5s + 4p = 155

Friend:

3s + 2p = 85

We have a system of simultaneous equations.

5s + 4p = 155

3s + 2p = 85

Rewrite the first equation. Multiply both sides of the second equation by -2 and write below it. Add the equations.

      5s + 4p = 155

(+)  -6s - 4p = -170

      -s          = -15

s = 15

A shirt costs $15.

Now we replace s with 15 in the first original equation and solve for p.

5s + 4p = 155

5(15) + 4p = 155

75 + 4p = 155

4p = 80

p = 20

A pair of shoes costs $20.