Let
x--------> the number of blue beads
y--------> the number of red beads
we know that

-------> equation 
------> equation 
equate equation
and equation 

find the value of x

therefore
the answer is
Ivan has

Nickels = x
dimes = x + 4
quarters = x
Value of coins:
nickel = 5 cents
dime = 10 cents
quarter = 25 cents
5x + 10(x + 4) + 25x = 3.20
5x + 10x + 40 + 25x = 320
40x = 320 - 40
40x = 280
x = 280/40
x = 7
There are 7 quarters, 7 nickels and 11 dimes.