Question

Ten students took an examination. John scored 500 marks. If he had scored 700 marks, the average score of the students would have been 410. What was the total score of the group?

Answer 1

Answer:

3,400 was the total score of the group

Step-by-step explanation:

In this question, we are to get the total score of a group of students in a test given that one of the students by the name John had a certain score.

we proceed as follows;

Now if he had score 700, average score would have been 410. This means that with his score, they all had a total score of 410 * 10 = 4100

The score of the students is thus 4100-700 = 3,400

Answer 2

Answer:

$n = 3900 \, marks$

Step-by-step explanation:

The corresponding formulas for each scenario are described below:

John - 700 marks

$410\,marks = \frac{x}{10} + \frac{700\,marks}{10}$

$x = 3400\,marks$

John - 500 marks

The total score of the group is:

$n = 500\,marks + 3400\,marks$

$n = 3900 \, marks$