How many ridgecaps can a roofer cut out of a bundle of 27 three-tab shingles?

Rationale

From a bundle of 27 three-tab shingles, a roofer can cut out 81 ridgecaps.

Each three-tab shingle contains three individual tabs, which can be used to create ridgecaps. Therefore, when a roofer cuts the 27 shingles, they effectively produce a total of 81 ridgecaps (27 shingles x 3 tabs per shingle).

A (27) YOUR ANSWER

This choice incorrectly suggests that each shingle corresponds to one ridgecap. However, since each three-tab shingle actually consists of three separate tabs, this option does not take into account the additional tabs available from each shingle.

B (54) YOUR ANSWER

While this choice recognizes that there are more ridgecaps than shingles, it underestimates the total number. It assumes that each shingle can only produce two ridgecaps, which is not accurate as each three-tab shingle provides three tabs.

C (81) CORRECT

This option correctly calculates the total number of ridgecaps by multiplying the number of shingles (27) by the number of tabs per shingle (3). Thus, 27 x 3 equals 81 ridgecaps, making this the correct answer.

D (162) YOUR ANSWER

This choice overestimates the number of ridgecaps. It implies that each shingle could somehow yield six ridgecaps, which is inaccurate. Each three-tab shingle provides a maximum of three tabs, not six, leading to a total far lower than 162.

Conclusion

In conclusion, a roofer can cut a total of 81 ridgecaps from a bundle of 27 three-tab shingles due to each shingle providing three tabs. The other options miscalculate the relationship between shingles and ridgecaps, either underestimating or overestimating the potential output. Understanding this multiplication is crucial for accurate roofing material utilization.

How many ridgecaps can a roofer cut out of a bundle of 27 three-tab shingles?

From a bundle of 27 three-tab shingles, a roofer can cut out 81 ridgecaps.

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