if john owes $580 to jane, then john pays cleaners $160 which he pays a $30 dollar share of. how much does john owe to jane

To determine how much John owes to Jane after paying the cleaners, let's break down the transactions step by step:

1. **Initial Debt to Jane**: John owes Jane $580.
2. **Payment to Cleaners**: John pays the cleaners $160.
3. **John's Share of Cleaners' Payment**: Out of the $160, John pays $30 as his share.

The remaining amount from the payment to the cleaners that does not account for John's share is:
\[ 160 - 30 = 130 \]

Now, the important part is to determine if any portion of the cleaner's payment affects the debt John owes to Jane. Since John is paying an additional amount out of his own pocket (the $30 share), this does not reduce the debt he owes to Jane. 

Thus, the debt John owes to Jane remains unaffected by his payment to the cleaners.

Therefore, John still owes Jane:
\[ \$580 \]

If you have any questions or need further details, please let me know.

Here are 5 more questions you might want to ask:

1. How do you calculate the new amount John owes if he makes a partial payment to Jane?
2. What is the total amount John has paid out of pocket after these transactions?
3. How would the calculation change if Jane had covered John's share of the cleaners' payment?
4. Can you provide an example with different initial debt and payment amounts?
5. How does sharing payments impact the total amount of debt in other scenarios?

**Tip:** When dealing with shared expenses and debts, always clearly separate personal expenses from shared ones to avoid confusion in calculating remaining debts.

Explore how to calculate John's debt to Jane after he pays $160 to cleaners, including his $30 share. This problem involves arithmetic calculations and understanding of financial transactions. Suitable for students in Grades 6-8.

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