instruction:
In this task, you need to provide the correct option for a given problem from the provided options.
question:
Problem: find the fraction which has the same ratio to 2 / 3 that 3 / 5 has to 6 / 7 
Options: a ) 1 / 5 , b ) 2 / 22 , c ) 3 / 4 , d ) 7 / 15 , e ) 5 / 6
answer:
d


question:
Problem: a bag contains 6 green balls and 8 white balls . if two balls are drawn simultaneously , what is the probability that both balls are the same colour ? 
Options: a ) 5 / 14 , b ) 8 / 21 , c ) 12 / 21 , d ) 43 / 91 , e ) 47 / 91
answer:
d


question:
Problem: on a certain farm the ratio of horses to cows is 4 : 1 . if the farm were to sell 15 horses and buy 15 cows , the ratio of horses to cows would then be 13 : 7 . after the transaction , how many more horses than cows would the farm own ? 
Options: a ) 30 , b ) 60 , c ) 75 , d ) 90 , e ) 105
answer:

a