Question

In a Mathematics contest, 50 questions were asked. 5 points were awarded for each
correct answer and 2 points were deducted for each incorrect answer. Anamika scored
96 points. How many more correct answers than incorrect answers did she have?​

Answer 1

Answer:

6

Step-by-step explanation:

No. of questions= 50

Points scored= 96

Points given for correct answer=5

Points deducted for wrong answer=2

Let's say Anamika answered x questions properly and 50-x questions wrongly.

This gives us

5x-2(50-x)=96

5x-100+2x=96

7x=96+100

x=196/7=28

So, no. of correct answers=28 and no. of incorrect answers= 50-28=22

Hence, she answered 6 more correct answers than incorrect answers.

Hope it helps! :D