Mary bought a scarf for five dollar spent one and a half of her remaining money on jogging shoes bought lunch for two dollars and then spent half of her remaining money on a DVD she had $10 left how much money does she start with?

How could she spend 1 1/2 of her remaining money?

To determine how much money Mary started with, we can work backward from the final amount of $10.

Let's break down the information provided step by step:

1. Mary bought a scarf for $5.
2. She spent one and a half of her remaining money on jogging shoes.
3. She bought lunch for $2.
4. She then spent half of her remaining money on a DVD.
5. Finally, she had $10 left.

To calculate the amount Mary started with, we will reverse each step in the above process.

1. Since she had $10 left after all the expenses, we need to add the cost of the DVD that she bought. If she had half the remaining money after buying lunch, then the cost of the DVD must have been $10 + half of the remaining money, which is $10 + $10 = $20.

2. Now, we need to determine how much money she spent on jogging shoes. If she had one and a half times the remaining money before buying lunch, that means she had twice the remaining money before buying shoes. So, we can calculate the cost of the shoes as $20 * (2/3) = $13.33 (approximately).

3. Before buying shoes, Mary had twice the remaining money. So, the cost of the scarf must have been $13.33 * 2 = $26.67 (approximately).

Therefore, Mary started with approximately $26.67.