Detailed Instructions: 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: in cliff ' s impressive rock collection, there are half as many igneous rocks as sedimentary rocks. of the igneous rocks, 2 / 3 are shiny and the rest are matte, while 1 / 5 of the sedimentary rocks are shiny. if there are 40 shiny igneous rocks, how many total rocks does cliff have ?
Options: a. 180, b. 45, c. 60, d. 90, e. 135
A:
a