Sammie and her 3 cousins split their winnings from bingo evenly. She paid $25 to get a ride home. If she had $475 when she got home, how much money did they win altogether?(1 point) Responses $2,000 $2,000 $133.33 $133.33 $112.50 $112.50 $125

1 answer

Let's break down the information given:

  1. Sammie and her 3 cousins means there are 4 people in total.
  2. After splitting the winnings evenly, Sammie used $25 for a ride home.
  3. 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 \( W \):

  1. Add $25 to both sides: \[ \frac{W}{4} = 475 + 25 \] \[ \frac{W}{4} = 500 \]

  2. Multiply both sides by 4 to find \( W \): \[ W = 500 \times 4 \] \[ W = 2000 \]

Thus, the total amount they won altogether is $2,000.