There is a bill that totals $7474. Person 1 paid $5747, person 2 paid $2000. Person one received a refund of $2064, person 2 received a refund of $2500. Person 1 and person 2 are to split the cost of the remaining amount after the refunds, which is $2928. Person 1 will pay 60% and person 2 will pay 40% of $2928. How much does person 2 owe person 1

Let's break this problem down step by step:

### Step 1: Calculate the net amounts each person has already paid after their refunds.

- **Person 1:**
  - Initial payment: $5747
  - Refund: $2064
  - Net payment = $5747 - $2064 = **$3683**

- **Person 2:**
  - Initial payment: $2000
  - Refund: $2500
  - Net payment = $2000 - $2500 = **-500** (Person 2 effectively owes $500 after refunds, meaning they've been refunded more than they paid.)

### Step 2: Calculate how much each person should contribute to the remaining amount ($2928).

- **Person 1 (60%):**
  - Share of the remaining amount = 60% of $2928 = $ 0.60 \times 2928 = 1756.8 $

- **Person 2 (40%):**
  - Share of the remaining amount = 40% of $2928 = $ 0.40 \times 2928 = 1171.2 $

### Step 3: Calculate how much each person owes in total after factoring in the split of $2928.

- **Person 1 total contribution** = Net payment + share of the remaining amount  
  = $3683 + $1756.8 = **$5439.8**

- **Person 2 total contribution** = Net payment + share of the remaining amount  
  = -$500 + $1171.2 = **$671.2**

### Step 4: Determine how much person 2 owes person 1.

Since Person 1 has paid $5439.8 in total and Person 2 has paid only $671.2, the difference is:

\[
5439.8 - 671.2 = 4768.6
\]

Thus, **Person 2 owes Person 1 $4768.60** to balance the payments.

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Would you like further clarification or details on any step? Here are some related questions:

1. How does splitting expenses work when refunds are involved?
2. How do proportional splits (like 60-40) affect shared costs?
3. What happens if one person receives a larger refund than they initially paid?
4. How do you calculate refunds in shared bills?
5. What is the mathematical basis for expense sharing?

**Tip:** When dividing shared expenses, always calculate net payments after refunds before distributing the remaining costs.

There is a bill that totals $7474. Person 1 paid $5747, person 2 paid $2000. Person one received a refund of $2064, person 2 received a refund of $2500. Person 1 and person 2 are to split the cost of the remaining amount after the refunds, which is $2928. Person 1 will pay 60% and person 2 will pay 40% of $2928. How much does person 2 owe person 1?

Learn how to calculate the amount one person owes another when splitting a bill after refunds. This step-by-step guide covers key arithmetic concepts including net payments, proportional splitting, and balancing shared expenses. Suitable for students in Grades 6-8.

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