Answer:
The fraction of the problems did he answer correctly is [tex](\frac{35}{48})[/tex]
Step-by-step explanation:
Here, let us assume the total number of problems in the test = p
Now, Bert did not finish 1/8 of the problems.
⇒The number of unfinished problems by Bert = [tex]\frac{1}{8} \times p= \frac{p}{8}[/tex]
Also, the number of finished problems
= Total problems - Unfinished problems
[tex]= p - \frac{p}{8} = \frac{7p}{8}[/tex]
Now, again 1/6 of the total finished problems had mistakes.
So, the number of problems with mistakes = [tex]\frac{1}{6} \times \frac{7p}{8} = \frac{7p}{48}[/tex]
The total answers did correctly
= Total answers done - Problem with mistakes
[tex]= \frac{7p}{8} - \frac{7p}{48} = \frac{(42 - 7)p}{48} = \frac{35}{48}p[/tex]
Hence, the fraction of the problems did he answer correctly is [tex](\frac{35}{48})[/tex]
