Question
Javier has 8 fewer marbles than Angel. Angel has 24 marbles. Identify the equation that best describes this situation.
A. 8j = 25
B. j + 8 = 24
C. j + (-8) = 24
D. j - 8 = 24
A. 8j = 25
B. j + 8 = 24
C. j + (-8) = 24
D. j - 8 = 24
Answers
GPT-4o mini
Let's analyze the situation:
Javier has 8 fewer marbles than Angel, and Angel has 24 marbles. We can define Javier's number of marbles as \( j \).
Given that Angel has 24 marbles, we can express the relationship as:
\[ j = 24 - 8 \]
This simplifies to:
\[ j = 16 \]
This means that Javier has 16 marbles. Now, we want to select the equation that best describes this situation.
Looking at the options:
A. \( 8j = 25 \) - This is not applicable.
B. \( j + 8 = 24 \) - This would imply that Javier has 16 marbles, which is correct. But it states that Javier plus 8 equals Angel's marbles, which does not directly express "8 fewer."
C. \( j + (-8) = 24 \) - This is a valid way to express "8 fewer," but it's unnecessarily complicated.
D. \( j - 8 = 24 \) - This implies that if you add 8 to Javier's marbles, you get Angel's marbles, which is not correct.
The best representation according to the situation, while considering how it directly reflects Javier having fewer marbles, is C:
**j + (-8) = 24**.
Thus, the best answer is **C. j + (-8) = 24**.
Javier has 8 fewer marbles than Angel, and Angel has 24 marbles. We can define Javier's number of marbles as \( j \).
Given that Angel has 24 marbles, we can express the relationship as:
\[ j = 24 - 8 \]
This simplifies to:
\[ j = 16 \]
This means that Javier has 16 marbles. Now, we want to select the equation that best describes this situation.
Looking at the options:
A. \( 8j = 25 \) - This is not applicable.
B. \( j + 8 = 24 \) - This would imply that Javier has 16 marbles, which is correct. But it states that Javier plus 8 equals Angel's marbles, which does not directly express "8 fewer."
C. \( j + (-8) = 24 \) - This is a valid way to express "8 fewer," but it's unnecessarily complicated.
D. \( j - 8 = 24 \) - This implies that if you add 8 to Javier's marbles, you get Angel's marbles, which is not correct.
The best representation according to the situation, while considering how it directly reflects Javier having fewer marbles, is C:
**j + (-8) = 24**.
Thus, the best answer is **C. j + (-8) = 24**.