Let's break down the information given:
- Sammie and her 3 cousins means there are 4 people in total.
- After splitting the winnings evenly, Sammie used $25 for a ride home.
- When she got home, she had $475.
Let \( W \) be the total winnings from bingo. Since they split it evenly among the 4, each person would get \( \frac{W}{4} \).
Sammie's amount after paying for the ride can be expressed as: \[ \frac{W}{4} - 25 = 475 \]
Now, let's solve for \( W \):
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Add $25 to both sides: \[ \frac{W}{4} = 475 + 25 \] \[ \frac{W}{4} = 500 \]
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Multiply both sides by 4 to find \( W \): \[ W = 500 \times 4 \] \[ W = 2000 \]
Thus, the total amount they won altogether is $2,000.