Solve Using a System of Three Linear Equations

Multiple Choice

Solve using a system of three linear equations.
-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 14 hours to prepare, 3 hours to paint, and 4 hours to
Fire. A sleigh takes 4 hours to prepare, 16 hours to paint, and 7 hours to fire. If the workshop has 109 hours for
Prep time, 81 hours for painting, and 122 hours for firing, How many of each can be made?

A) 3 wreaths, 9 trees, 5 sleighs
B) 9 wreaths, 5 trees, 3 sleighs
C) 5 wreaths, 3 trees, 9 sleighs
D) 10 wreaths, 6 trees, 4 sleighs