Ray wanted to put his tomato plants in rows with the same numbers of plants in each row. He knew that if he planted 5,6, or 7 rows of tomatoes, he would have at least one plant left over. However, his plants could be placed evenly in 8 rows. Which of the following numbers could be the numbers of tomato plants Ray has?

A. 128
B. 210
C. 240
D. 336

It can't be B or C because they are evenly divisible by 5.

Now, check out A and D.

ok thanks

is it A?

Yes, it's A.

thank you

You're welcome.

To solve this problem, we need to find the number of tomato plants that can be evenly divided into 5, 6, 7, and 8 rows.

Starting with 5 rows, if Ray had 5 rows, he would have at least one plant left over. So the number of tomato plants cannot be divisible by 5.

Next, looking at 6 rows, if Ray had 6 rows, he would also have at least one plant left over. So the number of tomato plants cannot be divisible by 6.

Similarly, with 7 rows, if Ray had 7 rows, he would have at least one plant left over. So the number of tomato plants cannot be divisible by 7.

Finally, we check if the number of tomato plants can be evenly divided into 8 rows. If Ray had 8 rows, then the number of tomato plants should be divisible by 8.

Now let's check the given options:
A. 128: This number can be divided by 8 (128/8 = 16), so it is a possible number of tomato plants.
B. 210: This number cannot be divided by 8, so it is not a possible number of tomato plants.
C. 240: This number can be divided by 8 (240/8 = 30), so it is a possible number of tomato plants.
D. 336: This number can be divided by 8 (336/8 = 42), so it is a possible number of tomato plants.

Therefore, the possible numbers of tomato plants that Ray could have are:
A. 128
C. 240
D. 336