Solve the problem
-A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint, and 9 hours to fire. A tree takes 16 hours to prepare, 3 hours to paint, and 4 hours to Fire. A sleigh takes 4 hours to prepare, 17 hours to paint, and 7 hours to fire. If the workshop has 135 hours for Prep time, 87 hours for painting, and 126 hours for firing, How many of each can be made?
A)9 wreaths, 6 trees, 3 sleighs
B)6 wreaths, 3 trees, 9 sleighs
C)10 wreaths, 7 trees, 4 sleighs
D)3 wreaths, 9 trees, 6 sleighs

Question

Quizplus · Accepted Answer

The correct answer can be found by setting up and solving a system of linear equations based on the given information. The equations are based on the time constraints for preparation, painting, and firing:- For preparation time: $3W + 16T + 4S = 135$- For painting time: $2W + 3T + 17S = 87$- For firing time: $9W + 4T + 7S = 126$Where $W$ is the number of wreaths, $T$ is the number of trees, and $S$ is the number of sleighs. Solving this system of equations yields the solution of 9 wreaths, 6 trees, and 3 sleighs, which corresponds to option A.

Solve the Problem -A Ceramics Workshop Makes Wreaths, Trees, and Sleighs for Sale