Thomas bought 6 plastic cups and 6 glass cups.
For given question,
Let a be the number of glass cups and b be the number of plastic cups.
Thomas bought 12 glass cups and plastic cups.
So, we get an equation
a + b = 12 .................(1)
The glass cups cost $3.25 and plastic cups cost $2.75
Thomas spent a total of $36
From this information we get equation,
3.25 a + 2.75 b = 36 ............(2)
We have a system of equations.
From equation (1),
a = 12 - b .............(3)
Substitute above value of a in equation (2)
3.25 (12 - b) + 2.75 b = 36
39 - 3.25 b + 2.75 b = 36
39 - 0.5 b = 36
-0.5 b = -3
b = 6
This means, Thomas bought 6 plastic cups.
Substitute above value of b in equation (3)
So, a = 12 - 6
a = 6
Thomas bought 6 glass cups.
Therefore, Thomas bought 6 plastic cups and 6 glass cups.
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