Question 19

A roofer can cut out 81 ridgecaps from a bundle of 27 three-tab shingles.

Each three-tab shingle can be cut into three individual ridgecaps, which means that with 27 shingles, a roofer can produce a total of 81 ridgecaps.

A) 27

Option A is incorrect because it suggests that only one ridgecap can be made from each shingle. Since each three-tab shingle contains three tabs, this option does not account for the additional ridgecaps that can be obtained.

B) 54

Option B is also incorrect as it implies that two ridgecaps can be cut from each shingle. However, with three tabs per shingle, this option underestimates the total number of ridgecaps that can be produced from 27 shingles.

C) 81

Option C is correct because it accurately reflects that each of the 27 three-tab shingles can be cut into three ridgecaps, resulting in a total of 81 ridgecaps (27 shingles x 3 ridgecaps per shingle = 81).

D) 162

Option D is incorrect as it suggests that each shingle can produce six ridgecaps. This figure is not feasible given the standard design of three-tab shingles, where only three tabs are available for cutting.

Conclusion

The correct answer is 81 ridgecaps, as it logically follows from the fact that each three-tab shingle can be divided into three sections. All other options miscalculate the number of ridgecaps that can be derived from the given number of shingles, illustrating a misunderstanding of the shingle structure.