There are only pink buttons, blue buttons, and green buttons in a jar. The ratio of the number of pink buttons to the number of blue buttons is 6:5. The ratio of the number of blue buttons to the number of green buttons is 4:5. There are less than 210 buttons in the jar. Work out the greatest number of green buttons in the jar.
a) 35
b) 45
c) 55
d) 65