Question 60655
Let the cost of 1 sucker be $x
Let the cost of 1 bubblegum be $y

Cost of 3 suckers and 1 bubblegum = $1.75
==> 3x + 1y = 1.75 ------------------(1)
Cost of 2 suckers and 4 bubblegums = $2
==> 2x + 4y = 2 -----------------(2)
    12x + 4y = 7    [(1) multiplied by 4]

Subtracting the above two equations we have,
   - 10x = -5
==> -10x/-10 = -5/-10
==> x = 1/2
Plugging in this in (2) we get..
2(1/2) + 4y = 2
==> 1 + 4y = 2
==> 4y = 2 - 1 (subtracting 1 from either side)
==> 4y = 1
==> 4y/4 = 1/4
==> y = 1/4

Thus the cost of a sucker = 1/2 or $0.5 and the cost of a bubblegum = 1/4 or $0.25



Good Luck!!!