Let's break down the problem step by step.
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Let \( W \) be the total winnings they split among Sammie and her 3 cousins. This means 4 people in total.
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If they split the winnings evenly, each person would get \( \frac{W}{4} \).
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We know that after paying $25 for a ride home, Sammie had $475 left. Therefore, before she paid for the ride, she had: \[ 475 + 25 = 500 \]
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This means: \[ \frac{W}{4} = 500 \]
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To find \( W \), we multiply both sides by 4: \[ W = 500 \times 4 = 2000 \]
So, the total amount of money they won altogether is $2,000.
The correct answer is $2,000.