Grades 9-10 Video Solutions 2023-2023_9-10

Video Transcription

Video Summary

The problem involves calculating the total number of planks in a wooden fence comprised of vertical and horizontal planks, where the vertical planks number 'x'. The fence structure results in 'x - 1' horizontal gaps, each filled by four planks, leading to a total plank count of \(5x - 4\). The problem asks for a number fitting this format, specifically one that's 4 less than a multiple of 5. Among the given options, only 96 suits this form, as it can be expressed as \(5 \times 20 - 4\). Hence, the correct answer is 96.

Keywords

wooden fence

plank calculation

vertical planks

horizontal gaps

total plank count