Brendan has a total of 57 beads
Solution:
Let "a" be the number of red beads
Let "b" be the number of yellow beads
Let "c" be the number of green beads
Given that,
Number of red beads = 19
a = 19
He has 2 fewer yellow beads than red beads
Number of yellow beads = number of red beads - 2
b = a - 2
b = 19 - 2
b = 17
Brendan also has 2 more green beads than red beads
Number of green beads = 2 + number of red bead
c = 2 + a
c = 2 + 19
c = 21
How many beads does Brendan have in all?
Total beads = a + b + c
Total beads = 19 + 17 + 21 = 57
Thus Brendan has 57 beads