rent is $1882.12 2 people split up the rent but one person pays $50 more than the other person how much does each person pay?

Let's define the amounts each person pays.

Let $ x $ be the amount paid by the person who pays less. Then, the person who pays more pays $ x + 50 $.

Since their combined payments equal the total rent, we can set up the following equation:

\[
x + (x + 50) = 1882.12
\]

Simplifying:

\[
2x + 50 = 1882.12
\]

Next, subtract 50 from both sides:

\[
2x = 1832.12
\]

Now, divide both sides by 2:

\[
x = \frac{1832.12}{2} = 916.06
\]

So, the person who pays less pays $ 916.06 $.

The person who pays more pays:

\[
916.06 + 50 = 966.06
\]

### Final amounts:
- The person who pays less: **$916.06**
- The person who pays more: **$966.06**

Would you like more details or have any questions?

Here are 5 related questions:
1. What if the rent was $2000, and one person paid $100 more?
2. How would the payments change if three people were splitting the rent, with one paying $50 more than the others?
3. If the rent increases by 5%, how much would each person pay now?
4. What if one person wanted to pay $100 less instead of $50 more?
5. How do you calculate each person's share if the rent and extra amount are given in percentages?

**Tip:** When splitting costs, always ensure the total adds up to avoid discrepancies!

Learn how to split rent of $1882.12 between two people where one pays $50 more than the other. Get a step-by-step solution with detailed calculations. Suitable for Grades 7-9.

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