PIL import Image import pytesseract

Load the image

image_path = '/mnt/data/1738393310646slr7wdnv.jpg' img = Image.open(image_path)

Use Tesseract to extract text

extracted_text = pytesseract.image_to_string(img) extracted_textHere is the text extracted from the image:

5. Two traffic lights change every 15 seconds and 25 seconds, respectively. If they both turn green at the same time now, how many seconds will pass before they turn green together again?

6. A teacher gives a math quiz every 10 days and a science quiz every 14 days. If both quizzes are given today, in how many days will they both occur on the same day again?

7. Three bells ring at intervals of 5 minutes, 6 minutes, and 10 minutes. If they all ring together now, how many minutes will pass before they ring together again?

8. A supermarket sells juice in packs of 8, 12, and 20. What is the smallest number of juice cartons you must buy to have the same number of cartons from each pack?

Let me solve these questions for you.

5. Find the least common multiple (LCM) of 15 and 25.
The LCM is $75$ seconds.

6. Find the LCM of 10 and 14.
The LCM is $70$ days.

7. Find the LCM of 5, 6, and 10.
The LCM is $30$ minutes.

8. Find the LCM of 8, 12, and 20.
The LCM is $120$ cartons.

Let me know if you'd like step-by-step details for any of these solutions!

Here are some related questions for further practice:

1. How do you compute the LCM of three numbers using prime factorization?
2. If two tasks repeat every 8 and 16 days, when will they next overlap?
3. Can two numbers with no common factors have an LCM equal to their product? Why or why not?
4. How would you apply LCM in scheduling problems?
5. Can you find the LCM for fractional intervals, like $\frac{1}{2}$ and $\frac{1}{3}$?

Tip: Always break numbers into prime factors to make finding the LCM simpler!