Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.
Q: Problem: a trail mix company keeps costs down by employing the peanuts: cashews: almonds ratio of 10: 4: 1 in each bag of up to 75 total nuts. what is the maximum percentage by which the company could decrease its number of peanuts per bag and still have peanuts constitute more than half the total amount of nuts ?
Options: a. 40 %, b. 48 %, c. 49 %, d. 50 %, e. 58 %
A:
b