How do I set up this algebra word problem

Three of the highest grossing toy categories in 2005 were infant toys, dolls, and games. Together they had gross sales of $8.2 billion. Total sales of dolls and games together were $2 billion more than sales of infant toys. Sales of games were $0.3 billion less than doll sales. Find the amount of sales of each type of toy.

I need to know how to set up the problem.

Stephanie...keep it simple, use obvious letters to replace words.

t + d + g = 8.2.....(1)

d + g = t + 2........(2)

g = d - 0.3...........(3)

Eliminating d's and g's by subtraction in equation 1 and 2 gives

t = -t + 8.2 - 2

t + t = 8.2 - 2

2t = 6.2

t = 3.1

Putting t back into equation 1 gives

3.1 + d + g = 8.2

d + g = 8.2 - 3.1

d + g = 5.1

Putting t back into equation 2 gives

d + g = 3.1 + 2

d + g = 5.1..............which is the same equation as 1

Now, looking at equation 3

g = d - 0.3

So, g - d = -0.3

d - g = 0.3

Now we have 2 equations in 2 unknowns

Adding gives 2d = 5.4

d = 2.7

Putting d back into either one of these gives

g = 2.4

Toys = $3.1 billion

Games = $2.4 billion

Dolls = $2.7 billion

Hope this helps.

:)>

Let x be the sales of infant toys, y be the sales of dolls, and z be the sales of games

x + y + z = 8.2
y + z - 2 = x
z + 0.3 = y

x + y + z = 8.2
-x + y + z = 2
-y + z = -0.3

Solve by matrices or Gaussian elimination to get x = 3.1 billion, y = 2.7 billion, and z = 2.4 billion

i = total sales of infant toys
d = total sales of dolls
g = total sales of games

From the problem, we know that
i + d + g = 8.2 billion
d + g = i + 2 billion
g = d - 0.3 billion