Final answer:
Ana can plant 28 seedlings in cans without any leftovers by using either 7 seedlings per can (Option 1) or 4 seedlings per can (Option 2). The other options would result in leftover seedlings.
Step-by-step explanation:
The student is asking about the divisibility rules for 2, 5, and 10 and how to apply them to determine how many seedlings can be planted in each can without leftovers. To solve this, we can see if the total number of seedlings (28) is divisible by the options given. The divisibility rule for 2 is that a number must be even (ends in 0, 2, 4, 6, or 8). The divisibility rule for 5 is that a number must end in 0 or 5. The divisibility rule for 10 is that a number must end in 0.
Checking the options:
- Option 1: 7 seedlings per can - 28 divided by 7 is 4, which means there would be no leftover seedlings, so this option works.
- Option 2: 4 seedlings per can - 28 divided by 4 is 7, which means there would be no leftover seedlings, so this option also works.
- Option 3: 8 seedlings per can - 28 divided by 8 is 3.5, which means there would be leftover seedlings, so this option does not work.
- Option 4: 5 seedlings per can - 28 divided by 5 is 5 with a remainder of 3, which means there would be leftover seedlings, so this option does not work either.
Therefore, Ana could plant either 7 seedlings per can (Option 1) or 4 seedlings per can (Option 2) without having any leftover seedlings.