Three friends attended a carnival. John rode the rollercoaster twice, the bumper cars three times, and the Ferris wheel once. He
used 42 tickets total. Darren rode the rollercoaster three times, the bumper cars once, and the Ferris wheel twice. He used 36 tickets. Shelley rode the rollercoaster once, the bumper cars twice, and the Ferris wheel 3 times. She used 32 tickets. Which system of equations matches the friends' night at the carnival? A) 2x + 3y + z = 42
3x + y + 2z = 36
x + 2y + 3z = 32
B) 3x + 2y + z = 42
3x + y + 2z = 36
x + 2y + 3z = 32
C) 2x + 3y + z = 42
3x + 3y + 2x = 36
x + 2y + 3z = 32
If you subtract Betty's time for the swim, 27.948 seconds, from Nancy's time, 28.004 seconds, you will find that Betty was faster than Nancy by 0.056 seconds. She would be considered the winner of the 50-meter freestyle swim.
