Write the word or phrase that best completes each statement or answers the question.
-A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours toprepare, 2 hours to paint, and 10 hours to fire. A tree takes 16 hours to prepare, 3 hours to paint, and 4hours to fire. A sleigh takes 4 hours to prepare, 14 hours to paint, and 7 hours to fire. If the workshop has99 hours for prep time, 58 hours for painting, and 120 hours for firing, how many of each can be made?
A)9 wreaths; 4 trees; 2 sleighs
B)4 wreaths; 2 trees; 9 sleighs
C)2 wreaths; 9 trees; 4 sleighs
D)10 wreaths; 5 trees; 3 sleighs

Question

Quizplus · Accepted Answer

To find the answer, we need to divide the available time for each process by the time it takes to make each item and see how many can be made.
For prep time: 
- Wreaths take 3 hours each, so 99/3 = 33 wreaths can be made. 
- Trees take 16 hours each, so 58/16 = 3.625, which rounded down means 3 trees can be made. 
- Sleighs take 4 hours each, so 120/4 = 30 sleighs can be made.

For painting time: 
- Wreaths take 2 hours each, so 58/2 = 29 wreaths can be painted. 
- Trees take 3 hours each, so 58/3 = 19.33, which rounded down means 19 trees can be painted. 
- Sleighs take 14 hours each, so 58/14 = 4.14, which rounded down means 4 sleighs can be painted.

For firing time: 
- Wreaths take 10 hours each, so 120/10 = 12 wreaths can be fired. 
- Trees take 4 hours each, so 120/4 = 30 trees can be fired. 
- Sleighs take 7 hours each, so 120/7 = 17.14, which rounded down means 17 sleighs can be fired.

Therefore, the maximum number of each item that can be made is:
- 9 wreaths (because only 9 will fit with the available painting and firing times)
- 4 trees
- 2 sleighs

Write the Word or Phrase That Best Completes Each Statement