SOLUTION: on a 100-questions test, 60 questions involve algebra and 20 questions are difficult. if 8 of the difficult questions involve algebra , how many of the questions that are not diffi

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Question 236347: on a 100-questions test, 60 questions involve algebra and 20 questions are difficult. if 8 of the difficult questions involve algebra , how many of the questions that are not difficult do not involve algebra?
a) 92 b) 80 c) 52 d) 28 e)12
Answer by Theo(13342) About Me  (Show Source):
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total questions = 100
algebra questions = 60
difficult questions = 20
difficult algebra questions = 8

if algebra questions = 60, then non-algebra questions = 40 because 60 + 40 = 100.

if difficult algebra questions = 8, then difficult non-algebra questions = 12 because 8 + 12 = 20

we have:

total non-algebra questions = 40
difficult non-algebra questions = 12

non-algebra questions that are not difficult are therefore 40-12 = 28.

you have:

28 non-algebra questions that are not difficult
12 non-algebra questions that are difficult
52 algebra questions that are not difficult
8 algebra questions that are difficult.

the total is 28 + 12 + 52 + 8 = 100

total number of questions that are difficult = 8 + 12 = 20

total number of questions that are not difficult = 28 + 52 = 80