A woodworking artist makes two types of carvings: type X and type Y. He spends 2 hours
making each type X carving and 3 hours making each type Y carving, and he can spend up to 30
hours each week making carvings. His materials cost him $6 for each type X carving and $4 for
each type Y carving, and he must keep his weekly cost for materials to $120 or less. If x is the
number of type X carvings he makes in a week and yis the number of type Y carvings he makes
in a week, which of the following systems of inequalities models this situation?
#
Choice
A.
2x+3ys 30, 6x + 4ys 120
В.
2x + 3ys 30, 6x + 4y2 120
C.
2x + 3y 30, 6x + 4ys 120
D.
2x + 3y 30, 6x + 4y2 120
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