QUESTION IMAGE
Question
use multiplication and division to solve word problems.
thomas took a bicycle trip through montana. he rode a total of 378 miles in 9 days. if he rode approximately the same number of miles each day, what were his average miles per day?
is the problem asking for a greater or lesser value than the total number of miles?
<pre_analysis>
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<reasoning>
Identify the given values
We are given:
- Total distance: \(378\text{ miles}\)
- Total time: \(9\text{ days}\)
Determine the operation
To find the average miles per day, we divide the total miles by the number of days.
\[\text{Average miles per day} = \frac{378\text{ miles}}{9\text{ days}}\]
Calculate the average miles per day
Perform the division:
\[378 \div 9 = 42\]
So, Thomas rode an average of \(42\text{ miles per day}\).
Compare with the total miles
The question asks if the average miles per day is a greater or lesser value than the total number of miles (\(378\text{ miles}\)).
Since \(42 < 378\), the value is lesser.
</reasoning>
<answer>
Question 1
Thomas's average miles per day were <blank>\(42\)</blank> miles per day.
Question 2
Is the problem asking for a greater or lesser value than the total number of miles? <blank>lesser</blank>
</answer>
<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multi-part",
"knowledge_point": [
"Mathematics",
"Arithmetic",
"Division Word Problems"
]
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</post_analysis>
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<pre_analysis>
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"needs_drawing": false,
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</pre_analysis>
<reasoning>
Identify the given values
We are given:
- Total distance: \(378\text{ miles}\)
- Total time: \(9\text{ days}\)
Determine the operation
To find the average miles per day, we divide the total miles by the number of days.
\[\text{Average miles per day} = \frac{378\text{ miles}}{9\text{ days}}\]
Calculate the average miles per day
Perform the division:
\[378 \div 9 = 42\]
So, Thomas rode an average of \(42\text{ miles per day}\).
Compare with the total miles
The question asks if the average miles per day is a greater or lesser value than the total number of miles (\(378\text{ miles}\)).
Since \(42 < 378\), the value is lesser.
</reasoning>
<answer>
Question 1
Thomas's average miles per day were <blank>\(42\)</blank> miles per day.
Question 2
Is the problem asking for a greater or lesser value than the total number of miles? <blank>lesser</blank>
</answer>
<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multi-part",
"knowledge_point": [
"Mathematics",
"Arithmetic",
"Division Word Problems"
]
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</post_analysis>