Math Problem Statement
Divya and two of her friends planned to spend $120 each on gas for their road trip. Then, another friend decided to join them. If all friends re-divided the cost of gas equally among them, how much did each friend spend?
Solution
Initially, Divya and her two friends planned to spend $120 each. With three friends, the total cost was:
When another friend joins, there are now four friends sharing the total cost. To find out how much each friend would spend after re-dividing the cost equally, we divide the total cost by the number of friends:
Thus, each friend spent $90 on gas after the re-division.
Would you like any further details or explanations? Here are some related questions to consider:
- How much money did the fourth friend contribute initially?
- What would each friend's share have been if there were five friends?
- How would the cost change if they initially planned to spend $100 each?
- What is the total amount spent if they add another $40 for snacks?
- How does the cost change if one friend drops out after re-dividing the costs?
Tip: When sharing costs, it's helpful to calculate the total first and then divide by the number of participants to find individual shares.
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Math Problem Analysis
Mathematical Concepts
Arithmetic
Division
Cost Sharing
Formulas
Total Cost = Number of Friends × Individual Contribution
Cost per Friend = Total Cost / Number of Friends
Theorems
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Suitable Grade Level
Grades 5-7
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