PRACTICE (1) The Sharks Aquatic Club recently held a fundraiser to raise money for a local charit) The swimmers received money for each lap that they swam during one week. The three swimmers who raised the most money were Rita, John, and Rodell. Together, they swam a total of 2125 laps. John swam three times as many laps as Rita, and Rodell swam 25 more laps than John. How many laps did each swimmer swim?

Let’s break down the problem step-by-step to find out how many laps each swimmer swam. 1. **Variables**: Let the number of laps Rita swam be \( r \). Thus, John swam \( 3r \) (three times as many laps as Rita), and Rodell swam \( 3r + 25 \) (25 more laps than John). 2. **Total Laps Equation**: We know that together they swam a total of 2125 laps, so we can set up the equation: \[ r + 3r + (3r + 25) = 2125 \] 3. **Combine Like Terms**: Simplifying that gives us: \[ r + 3r + 3r + 25 = 2125 \] \[ 7r + 25 = 2125 \] 4. **Solve for \( r \)**: Subtract 25 from both sides: \[ 7r = 2100 \] Then divide by 7: \[ r = 300 \] 5. **Calculate the Other Swimmers' Laps**: - Rita: \( r = 300 \) - John: \( 3r = 3 \times 300 = 900 \) - Rodell: \( 3r + 25 = 900 + 25 = 925 \) So, Rita swam 300 laps, John swam 900 laps, and Rodell swam 925 laps!