Math Problem Statement
Solution
Let's analyze the problem presented in your image.
Question Overview:
- There are 280 elementary students and 40 adults going on a field trip, making a total of 320 people.
- Two types of buses are available:
- The first type of bus holds 50 people.
- The second type of bus holds 56 people.
- Andre claims that using 3 of each type of bus will accommodate all 320 people.
Step-by-Step Solution:
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Calculate the total number of people that can fit on the buses Andre suggests:
- 3 buses of the first type can hold: people.
- 3 buses of the second type can hold: people.
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Calculate the total number of people that these buses can carry:
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Compare with the total number of people needing transport:
- The total number of people is 320.
- The buses Andre suggests can only carry 318 people, which is 2 people short.
Conclusion:
Andre is not correct because the total capacity of 6 buses (3 of each type) is 318, while 320 people need to be transported.
Would you like more details on the calculations or any other explanation?
Here are 5 questions for further practice:
- What would happen if Andre used 4 of the second type of bus instead?
- How many buses would Andre need if only using the first type of bus?
- How many buses would be needed if only using the second type of bus?
- If Andre wants exactly 320 people on the buses, what is the minimum number of buses needed?
- How many people would 4 of the first type of bus and 2 of the second type of bus carry?
Tip: Always check the total capacity when planning any transportation problem to ensure all people are accommodated.
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Math Problem Analysis
Mathematical Concepts
Algebra
Word Problems
Multiplication
Addition
Formulas
Total number of people = number of buses of type 1 * capacity of type 1 bus + number of buses of type 2 * capacity of type 2 bus
Theorems
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Suitable Grade Level
Grade 7-8