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: ms. harris invested in fund x and fund b. the total amount she invested, in both funds combined, was $ 100000. in one year, fund x paid 23 % and fund b paid 17 %. the interest earned in fund b was exactly $ 200 greater than the interest earned in fund x. how much did ms. morris invest in fund x ?
Options: a. $ 32000, b. $ 36000, c. $ 40000, d. $ 42000, e. $ 45,000
[A]: d


[Q]: Problem: he average of 10 numbers is 23. if each number is increased by 4, what will the new average be ?
Options: a. 26, b. 27, c. 88, d. 99, e. 12
[A]: b


[Q]: Problem: liam is pulled over for speeding just as he is arriving at work. he explains to the police officer that he could not afford to be late today, and has arrived at work only four minutes before he is to start. the officer explains that if liam had driven 5 mph slower for his whole commute, he would have arrived at work exactly on time. if liam ' s commute is 10 miles long, how fast was he actually driving ? ( assume that liam drove at a constant speed for the duration of his commute. )
Options: a. 50 mph, b. 45 mph, c. 48 mph, d. 30 mph, e. 60 mph
[A]:
d