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
d) 2x + 3y + z = 42
3x + y + 2z = 36
2x + 2y + 3z = 32