The answer is
AB = 6.
External value x (external value + internal value) =
External value x (external value + internal value) of the other side
Substitute, transpose, and simplify.
TA x (TA + AB) = TC x (TC + CD)
10 x (10 + (x + 2)) = 8 x (8 + 12)
120 + 10x = 160
10x = 40
x = 4
To find AB: x + 12; x = 4
AB = x + 2
AB = 4 + 2
AB = 6
An expression for the cost will be 50+100n, where n is the number of cavities.
Number of friends - x
50-3x=2
-3x=-48
3x=48
x=16
Jack has 16 friends.
38(2x+16)-2=13
76x+608-2=13
76x+606=13
76x=-593
x=-7.8