1. Jeanette goes to the library every 10 days while Allan every 6 days. If they both go to the library on October 1, what is the earliest date to when they will both come back again?
2. The number of books in Kyle’s collection is divisible by 2, 5, and 10. He has more than 11 books and fewer than 25 books. How many books does he have?
3. Marilou’s garden has 414 sunflower plants. She wants to arrange them in either rows of 3, 6, or 9. Which of these is the possible arrangement of the plants?
Answer (1)
Answer:Here are the solutions for each question:---1. Jeanette goes to the library every 10 days while Allan every 6 days. If they both go to the library on October 1, what is the earliest date they will both come back again?We need to find the Least Common Multiple (LCM) of 10 and 6.Multiples of 10: 10, 20, 30, 40...Multiples of 6: 6, 12, 18, 24, 30...✅ LCM of 10 and 6 is 30.They will both come back together 30 days after October 1. October 1 + 30 days = October 31✅ Answer: October 31---2. The number of books in Kyle’s collection is divisible by 2, 5, and 10. He has more than 11 books and fewer than 25 books. How many books does he have?We look for numbers between 11 and 25 that are divisible by 2, 5, and 10. A number divisible by 10 is automatically divisible by 2 and 5.So, list numbers between 11 and 25 that are divisible by 10:Only 20✅ Answer: 20 books---3. Marilou’s garden has 414 sunflower plants. She wants to arrange them in either rows of 3, 6, or 9. Which of these is a possible arrangement of the plants?We check if 414 is divisible by 3, 6, and 9.414 ÷ 3 = 138 ✅ divisible414 ÷ 6 = 69 ✅ divisible414 ÷ 9 = 46 ✅ divisible✅ Answer: All of the above (3, 6, or 9) are possible arrangements.
