Answer :
12x2=24 8x3=24 , so all you needed was to multiply the week until you got the same answer for both
Answer:
The fewest number of weeks that will pass before both machines are cleaned again in the same week is 24 weeks.
Step-by-step explanation:
Given : Machines a and t were both cleaned this week machine a is cleaned every 12 weeks and machine t is cleaned every 8 weeks.
To find : What is the fewest number of weeks that will pass before both machines are cleaned again in the same week ?
Solution :
According to question,
We have take LCM of the numbers 12 and 8.
2 | 8 12
2 | 4 6
2 | 2 3
3 | 1 3
| 1 1
[tex]LCM(8,12)=2\times 2\times 2\times 3[/tex]
[tex]LCM(8,12)=24[/tex]
Therefore, the fewest number of weeks that will pass before both machines are cleaned again in the same week is 24 weeks.
