instruction:
In this task, you need to provide the correct option for a given problem from the provided options.
question:
Problem: a farmer with 1350 acres of land had planted his fields with corn , sugar cane , and tobacco in the ratio of 5 : 2 : 2 , respectively , but he wanted to make more money , so he shifted the ratio to 2 : 2 : 5 , respectively . how many more acres of land were planted with tobacco under the new system ? 
Options: a ) 90 , b ) 150 , c ) 270 , d ) 300 , e ) 450
answer:
e


question:
Problem: a certain bag contains 100 balls — 50 white , 30 green , 10 yellow , 7 red , and 3 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ? 
Options: a ) 0.9 , b ) 0.75 , c ) 0.6 , d ) 0.8 , e ) 0.5
answer:
a


question:
Problem: the probability of two events a and b are 0.20 and 0.40 respectively . the probability that both a and b occur is 0.15 . the probability that neither a nor b occur is _________ 
Options: a ) 0.45 , b ) 0.4 , c ) 0.5 , d ) 0.55 , e ) 0.6
answer:

d