Math Problem Statement
The passengers on an excursion bus consisted of 14 married couples, 8 of whom brought no children and, 6 of whom brought 3 children a piece. Counting the driver, the bus has 31 occupants How is this possible?
Solution
Let's analyze the numbers carefully.
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There are 14 married couples on the bus.
- 8 couples did not bring children.
- 6 couples each brought 3 children.
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The total number of children:
- Since 6 couples brought 3 children each, we calculate:
- Since 6 couples brought 3 children each, we calculate:
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Total number of adults:
- There are 14 couples, so the number of adults is:
- There are 14 couples, so the number of adults is:
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Adding the driver:
- The total number of people on the bus is:
- The total number of people on the bus is:
Thus, the numbers add up correctly, making it possible for the bus to have 31 occupants.
Do you want further clarifications or breakdowns?
Here are 5 related questions you might find interesting:
- If a different set of 4 couples had brought 2 children each, how many total occupants would be on the bus?
- How would the number of passengers change if 3 more couples joined, each bringing 2 children?
- If the bus had a seating capacity of 40, how many more people could it accommodate?
- What fraction of the bus occupants are children?
- If each child paid half the fare of an adult, what would be the total fare collected if an adult ticket costs $20?
Tip:
When solving word problems, always break down the given information into categories and systematically count each group.
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Math Problem Analysis
Mathematical Concepts
Basic Arithmetic
Counting Principles
Formulas
Total People = (Adults) + (Children) + (Driver)
Theorems
Basic Counting Principle
Suitable Grade Level
Grades 5-7