Judith bought 6 cookie kits and 4 house kits.
Let y represent the number of house kits and x represent the number of cookie kits.
If Judith bought a combination of 10 gingerbread house and cookie kits, hence:
x + y = 10 (1)
Also, number of house kits was one more than half the number of cookie kits, hence:
y = (1/2)x + 1 (2)
From the graph, the solution is at (6, 4)
Hence, Judith bought 6 cookie kits and 4 house kits.
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