Artificial Christmas trees tend to be proportional in shape. If a 4-foot tree needs approximately 60 ornaments to cover the outer limbs of the tree, how many ornaments will a 6-foot tree need?
A) approximately 90 ornaments
B) approximately 120 ornaments
C) approximately 135 ornaments
D) approximately 150 ornaments

Question

Quizplus · Accepted Answer

Since the trees are proportional, we can assume that the number of ornaments needed is directly proportional to the height of the tree.

Using a proportion:

4 feet : 60 ornaments = 6 feet : x

Cross-multiplying we get:

4 feet * x = 60 ornaments * 6 feet

x = 360 ornaments / 4 feet

x = 90 ornaments per foot

Multiplying 90 ornaments/foot by the height of the 6-foot tree:

90 ornaments/foot * 6 feet = 540 ornaments

Therefore, a 6-foot tree will need approximately 540 ornaments to cover the outer limbs of the tree, which is closest to choice C (approximately 135 ornaments).

Artificial Christmas Trees Tend to Be Proportional in Shape