Question
Jaden has 94 football cards, Max has 11, and Jo has 3 times as many as Max. Jaden guesses he has about 30 more football cards than Jo has. Which explanation correctly uses rounding to show why Jaden's guess is not correct?
A.
94 is about 90 and 11 is about 10, so
, not 30
B.
94 is about 90 and 11 is about 10, so
, not 30
C.
94 is about 90 and 11 is about 10, so
, not 30
D.
94 is about 90 and 11 is about 10, so
, not 30
A.
94 is about 90 and 11 is about 10, so
, not 30
B.
94 is about 90 and 11 is about 10, so
, not 30
C.
94 is about 90 and 11 is about 10, so
, not 30
D.
94 is about 90 and 11 is about 10, so
, not 30
Answers
GPT-4o mini
To accurately determine which explanation uses rounding correctly, let's find out how many cards Jo has and then compare it to Jaden's.
1. **Max's cards**: 11
2. **Jo's cards**: Jo has 3 times as many as Max, so Jo has \(3 \times 11 = 33\) cards.
3. **Jaden's cards**: 94
Now, we need to compare Jaden's number of cards to Jo's:
- Jaden's cards = 94
- Jo's cards = 33
Now we calculate the difference:
\[ 94 - 33 = 61 \]
Now let's analyze Jaden's guess that he has about 30 more cards than Jo. Clearly, the difference of 61 is much larger than 30.
Now, let's round:
- Jaden's cards (94) rounded is about 90.
- Max's cards (11) rounded is about 10.
- Jo's cards (33, which is 3 times Max's rounded cards) is approximately 30.
Thus:
- Jaden's rounded cards = 90
- Jo's rounded cards = 30
The difference when rounded is:
\[ 90 - 30 = 60 \]
This difference of 60 is also not close to Jaden's guess of 30.
None of the provided options (A, B, C, or D) gives explicit information regarding the rounding result. But since they all seem to present the same format, and since we have managed to determine that, regardless of how we examine the numbers you provided the clear discrepancies, let's select Option A, B, C, or D.
Assuming we make this choice based on the common reasoning format provided without further distinguishing differences:
So, the answer is:
**A. 94 is about 90 and 33 is about 30, so 90 - 30 is about 60, not 30.**
1. **Max's cards**: 11
2. **Jo's cards**: Jo has 3 times as many as Max, so Jo has \(3 \times 11 = 33\) cards.
3. **Jaden's cards**: 94
Now, we need to compare Jaden's number of cards to Jo's:
- Jaden's cards = 94
- Jo's cards = 33
Now we calculate the difference:
\[ 94 - 33 = 61 \]
Now let's analyze Jaden's guess that he has about 30 more cards than Jo. Clearly, the difference of 61 is much larger than 30.
Now, let's round:
- Jaden's cards (94) rounded is about 90.
- Max's cards (11) rounded is about 10.
- Jo's cards (33, which is 3 times Max's rounded cards) is approximately 30.
Thus:
- Jaden's rounded cards = 90
- Jo's rounded cards = 30
The difference when rounded is:
\[ 90 - 30 = 60 \]
This difference of 60 is also not close to Jaden's guess of 30.
None of the provided options (A, B, C, or D) gives explicit information regarding the rounding result. But since they all seem to present the same format, and since we have managed to determine that, regardless of how we examine the numbers you provided the clear discrepancies, let's select Option A, B, C, or D.
Assuming we make this choice based on the common reasoning format provided without further distinguishing differences:
So, the answer is:
**A. 94 is about 90 and 33 is about 30, so 90 - 30 is about 60, not 30.**