Question
Mr. Reynaldo asked his math class to find a mystery number. He gave the clue below.
The mystery number is 12 times more than
of the difference between 25 and 60.
Which expression can be used to find Mr. Reynaldo’s mystery number?
The mystery number is 12 times more than
of the difference between 25 and 60.
Which expression can be used to find Mr. Reynaldo’s mystery number?
Answers
GPT-4o mini
To find the mystery number according to Mr. Reynaldo's clue, we need to break down the statement:
1. **Find the difference between 25 and 60**:
\[
60 - 25 = 35
\]
2. **Calculate 12 times that difference**:
Since the clue states the mystery number is "12 times more than," we can derive an expression that shows this relationship. The phrase "12 times more than" typically implies adding that amount to the difference.
Thus, 12 times the difference (35) would be:
\[
12 \times 35
\]
3. **Add that result to the difference**:
To express the mystery number, we can write:
\[
\text{Mystery Number} = 12 \times (60 - 25) + (60 - 25)
\]
Simplifying the expression further, we recognize that \( (60 - 25) \) is 35, hence:
\[
\text{Mystery Number} = 12 \times 35 + 35
\]
So, the overall expression that represents Mr. Reynaldo's mystery number is:
\[
n = 12 \times (60 - 25) + (60 - 25)
\]
Alternatively, since adding an amount of difference is equivalent to saying it's \( 13 \times \) that difference:
\[
n = 13 \times (60 - 25)
\]
However, as the original clue suggests focusing on the structure of how it's stated, the first expression would suffice to find Mr. Reynaldo's mystery number.
1. **Find the difference between 25 and 60**:
\[
60 - 25 = 35
\]
2. **Calculate 12 times that difference**:
Since the clue states the mystery number is "12 times more than," we can derive an expression that shows this relationship. The phrase "12 times more than" typically implies adding that amount to the difference.
Thus, 12 times the difference (35) would be:
\[
12 \times 35
\]
3. **Add that result to the difference**:
To express the mystery number, we can write:
\[
\text{Mystery Number} = 12 \times (60 - 25) + (60 - 25)
\]
Simplifying the expression further, we recognize that \( (60 - 25) \) is 35, hence:
\[
\text{Mystery Number} = 12 \times 35 + 35
\]
So, the overall expression that represents Mr. Reynaldo's mystery number is:
\[
n = 12 \times (60 - 25) + (60 - 25)
\]
Alternatively, since adding an amount of difference is equivalent to saying it's \( 13 \times \) that difference:
\[
n = 13 \times (60 - 25)
\]
However, as the original clue suggests focusing on the structure of how it's stated, the first expression would suffice to find Mr. Reynaldo's mystery number.