Percy wrote this equation to represent the total number of books he carried in two bags.
12 = 7 + b
Which situation could be described by this equation?
A.
Percy knows he has a total of 12 books. He knows he has 7 books in one bag. He does not know how many books he has in the other bag.
B.
Percy knows he has a total of 12 books. He knows he has 7 books in one bag. He does not know how many more books he has in the first bag compared to the other bag.
C.
Percy knows he has 12 books in one bag. He knows he has 7 books in the other bag. He does not know how many books he has altogether.
D.
Percy knows he has 12 books in one bag. He knows he has 7 fewer books in the other bag. He does not know how many books he has altogether.
I'll be glad to check your answer.
$ first
To solve this problem, let's break down the equation:
12 = 7 + b
In this equation, "b" represents the number of books Percy has in the other bag.
A. Percy knows he has a total of 12 books. He knows he has 7 books in one bag. He does not know how many books he has in the other bag.
This situation does not match the equation because Percy does not know the value of "b". Therefore, option A is not correct.
B. Percy knows he has a total of 12 books. He knows he has 7 books in one bag. He does not know how many more books he has in the first bag compared to the other bag.
This situation aligns with the equation because Percy knows the total number of books (12), and he knows the number of books in one bag (7), but he does not know the exact number of books in the other bag ("b"). Therefore, option B is correct.
C. Percy knows he has 12 books in one bag. He knows he has 7 books in the other bag. He does not know how many books he has altogether.
In this situation, Percy knows the specific number of books in each bag, so the equation does not match. Therefore, option C is not correct.
D. Percy knows he has 12 books in one bag. He knows he has 7 fewer books in the other bag. He does not know how many books he has altogether.
This situation does not match the equation because Percy knows the difference in the number of books between the bags (7 fewer in the other bag), which means he can determine the total number of books he has. Therefore, option D is not correct.
Therefore, the correct answer is option B.