Solve the problem.
-A ceramics workshop makes serving bowls, platters, and bread baskets to sell at its Winter Festival. A serving bowl takes 3 hours to prepare, 2 hours to paint, and 9 hours to fire. A platter takes 16 hours to prepare, 3 hours to paint, and 4 hours to fire. A bread basket takes 4 hours to prepare, 17 hours to paint, and 7 hours to fire. If the workshop has 119 hours for prep time, 84 hours for painting, and 122 hours for firing, how many of each can be made?
A)9 serving bowls, 5 platters, 3 bread baskets
B)3 serving bowls, 9 platters, 5 bread baskets
C)10 serving bowls, 6 platters, 4 bread baskets
D)5 serving bowls, 3 platters, 9 bread baskets

Question

Quizplus · Accepted Answer

This problem can be solved using a system of linear equations based on the time constraints for each type of item. The equations are: 3S + 16P + 4B = 119 (prep time), 2S + 3P + 17B = 84 (painting time), and 9S + 4P + 7B = 122 (firing time), where S, P, and B represent the number of serving bowls, platters, and bread baskets, respectively. Solving this system yields the solution: 9 serving bowls, 5 platters, and 3 bread baskets.

Solve the Problem. -A Ceramics Workshop Makes Serving Bowls, Platters, and Bread Baskets