Answer :
Answer:
In total, there were 57 questions on the test.
Step-by-step explanation:
Here, the number of questions answers incorrectly =21
Let us assume the number of questions answers correctly = m
So, the ratio of questions answered Correctly : Incorrectly = m : 21 ... (a)
Also, from the given question:
The ratio of questions he answered correctly to questions he answered incorrectly = 12:7 .......... (b)
By the RATIO OF PROPORTION:
m : 21 = 12 : 7
or, [tex]\frac{m}{21} = \frac{12}{7} \\\implies m = (\frac{12}{7} ) \times 21 = 35.999 \approx 36[/tex]
or, m = 36 ( app.)
So, the number of questions answered correctly = 36
Now, Total Q = Q answered (Correctly + Incorrectly)
= 21 + 36 = 57
Hence in total, there were 57 questions on the test.
