Grades 5-6 Video Solutions 2023-2023_1-2

Video Transcription

Question 24. Four stakes are placed along a 120-meter track as shown.  What is the smallest number of stakes that should be added so that the track is divided into sections of equal length?  First, we need to realize that our sections are divided into 24, 30, and 66 meters on a 120-meter track. The greatest common factor of all these numbers is 6.  Since it is 120 meters, we will take 120 and divide by 6, giving us 20 sections.  However, when we have 20 sections, or any number of sections, we need to add one additional stake to cap off the end, so we will add 1.  Now if we decide that we need 21 stakes, the question is asking the smallest number of stakes that need to be added.  Since we already have 4 stakes, we will subtract 4 from 21, which will give us our answer, which will be C, 17.

Video Summary

Question 24. Four stakes are placed along a 120-meter track as shown. What is the smallest number of stakes that should be added so that the track is divided into sections of equal length? First, we need to realize that our sections are divided into 24, 30, and 66 meters on a 120-meter track. The greatest common factor of all these numbers is 6. Since it is 120 meters, we will take 120 and divide by 6, giving us 20 sections. However, when we have 20 sections, or any number of sections, we need to add one additional stake to cap off the end, so we will add 1. Now if we decide that we need 21 stakes, the question is asking the smallest number of stakes that need to be added. Since we already have 4 stakes, we will subtract 4 from 21, which will give us our answer, which will be C, 17.

Keywords

stakes

track

equal sections

greatest common factor

120 meters