If Maggie's share is 100% - 25% = 75% of the total amount.
Since Maggie's share is $4,500, then 75% of the total amount is $4,500.
To find the total amount, we can set up the equation:
75% of the total amount = $4,500.
Converting 75% to decimal form, we get:
0.75 * total amount = $4,500.
Dividing both sides of the equation by 0.75, we get:
total amount = $4,500 / 0.75 = $6,000.
So, Debby and Maggie shared a total of $6,000.
#### 6000
The answer is: 6000
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
Debby and Maggie agreed to share a sum of money so that Debby takes 25% and Maggie takes the rest. If Maggie's share is $4,500, how much did they share?

### Answer:
