Question

Manuel is making cookies for a bake sale. He makes 16 batches. Each batch has b cookies in it. The number b is an odd 2-digit number. Indicate whether each statement is true or false.

The total number of cookies is odd.
The total number of cookies could be less than 100.
The number b could have a zero in the ones place.
The total number of cookies could be a multiple of 10.
The number equal 10 16xb could be greater than 1000

Answer 1

The statements are true, true, true, false, and false, respectively.

Step-by-step explanation:

The given information states that Manuel makes 16 batches of cookies and each batch has an odd 2-digit number of cookies denoted by b. Let's analyze each statement:

1. True. Since the number of cookies in each batch is an odd 2-digit number, and there are 16 batches, the total number of cookies will be odd.
2. True. As the number of cookies in each batch is not specified, it is possible for the total number of cookies to be less than 100.
3. True. Since b is an odd 2-digit number, it could have a zero in the ones place.
4. False. The total number of cookies cannot be a multiple of 10 because b is an odd 2-digit number.
5. False. If b is an odd 2-digit number, then 16 times b will be less than or equal to 99 times 16, which is 1584. Hence, the number 16xb cannot be greater than 1000.

In conclusion, the statements are true, true, true, false, and false, respectively.