Grades 7-8 Video Solutions 2022-2022_7-8

Video Transcription

Question 3. Kengu enjoys jumping on the number line. He always makes two large jumps followed by three small jumps, as shown, and then repeats this process over and over again.  Kengu starts his jumping routine on 0. On which of these numbers will Kengu land during his routine? So we know that in each of these routines, he will jump 3, 3, 1, 1, and 1.  If we add these together, we get a total of 9. So each cycle of jumping will equal to 9. If we repeat this cycle 9 times, we get a total of 81.  So after repeating this cycle, Kengu is on the spot of 81. Now he has to restart his cycle of jumping, and we know that he starts off the cycle at 3. So we add 3 to 81.  And with that, we will get our answer, which is C, 84.

Video Summary

Kengu jumps on a number line, making two large jumps (3 units each) followed by three small jumps (1 unit each), totaling 9 units per cycle. Starting at 0, each complete cycle moves Kengu forward by 9. After 9 cycles, he lands on 81. In the next cycle, he begins with a 3-unit jump, reaching 84. Thus, during his routine, Kengu lands on number 84, which is the answer.