In this task, you need to provide the correct option for a given problem from the provided options.

Input: Consider Input: Problem: two alloys a and b are composed of two basic elements . the ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 1 : 1 , respectively . a new alloy x is formed by mixing the two alloys a and b in the ratio 4 : 3 . what is the ratio of the composition of the two basic elements in alloy x ?
Options: a ) 1 : 1 , b ) 2 : 3 , c ) 5 : 2 , d ) 4 : 3 , e ) 7 : 9

Output: d

Input: Consider Input: Problem: sandy is younger than molly by 6 years . if their ages are in the respective ratio of 7 : 9 , how old is molly ?
Options: a ) 21 , b ) 24 , c ) 27 , d ) 36 , e ) 45

Output: c

Input: Consider Input: Problem: if 75 percent of a class answered the first question on a certain test correctly , 25 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ?
Options: a ) 10 % , b ) 20 % , c ) 30 % , d ) 50 % , e ) 65 %
Output: b