Question

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 y is the number of type Y carvings he makes in a week, which of the following systems of inequalities models this situation?

Answer 1

possible choices
A. 2x + 3y ≥ 30, 6x + 4y ≤ 120
B. 2x + 3y ≤ 30, 6x + 4y ≤ 120
C. 2x + 3y ≥ 30, 6x + 4y ≥ 120
D. 2x + 3y ≤ 30, 6x + 4y ≥ 120

Answer 2

Option B