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:

3×120=3603 \times 120 = 360

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:

Total cost=360\text{Total cost} = 360 Number of friends=4\text{Number of friends} = 4

Cost per friend=3604=90\text{Cost per friend} = \frac{360}{4} = 90

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:

  1. How much money did the fourth friend contribute initially?
  2. What would each friend's share have been if there were five friends?
  3. How would the cost change if they initially planned to spend $100 each?
  4. What is the total amount spent if they add another $40 for snacks?
  5. 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