You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.

Input: Consider Input: Question: A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture

 Option A: 15 litres

 Option B: 10 litres

 Option C: 30 litres

 Option D: 22 litres

 Option E: 8 litres

Output: Option B


Input: Consider Input: Question: In a certain school, the ratio of boys to girls is 5 to 13. If there are 160 more girls than boys, how many boys are there?

 Option A: 100

 Option B: 36

 Option C: 45

 Option D: 72

 Option E: 117

Output: Option A


Input: Consider Input: Question: Each writer for the local newspaper is paid as follows: a dollars for each of the first x stories each month, and a + b dollars for each story thereafter, where a > b. How many more dollars will a writer who submits x+ a stories in a month earn than a writer who submits x+ b stories?

 Option A: (a – b

 Option B: a – b

 Option C: a^2 – b^2

 Option D: x( a – b

 Option E: ax + bx – ax


Output: Option C