Problema Solution
A students scores 20 out of 32 questions correctly on a test. They then get three quarters of the remaining questions wrong. If the student scores 40% on this test how many questions were there?
Answer provided by our tutors
let x = the total number of questions
x - 32 is the remaining number of questions
if (3/4) of the remaining questions are wrong then 1 - (3/4) = 1/4 are correct
the percentage of correct questions is:
(20 + (1/4)(x - 32))/x = 0.40
by solving we find
x = 80 questions
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the total number of questions is 80.