Answer: Maura collected are any odd numbers greater than or equal to 1
Explanation:
Since George collected 146 cans for recycling, the total number of cans collected by George and Maura together is 146 + Maura's collection. The problem states that the total number of cans collected by George and Maura is not divisible by 2.
In order for a number to be divisible by 2, it must be an even number. Therefore, if the total number of cans collected by George and Maura is not divisible by 2, it must be an odd number.
To find the numbers that could be the number of cans Maura collected, we can subtract 146 from odd numbers. This will give us the possible number of cans Maura collected, as long as the resulting number is positive.
For example, let's take the odd number 147. Subtracting 146 from 147, we get 1. This means that Maura could have collected 1 can.
Another example is the odd number 151. Subtracting 146 from 151, we get 5. This means that Maura could have collected 5 cans.
So, the numbers that could be the number of cans Maura collected are any odd numbers greater than or equal to 1, such as 1, 3, 5, 7, and so on