Question

The 15 students in Miss Brown's class took a test. The average for the class was 95 points. The maximum possible score was 100 points. What is the lowest score a student in this class could have scored?

Answer 1

Total number of students ⇢ 15

Average score ⇢95

Maximum score⇢100

Lowest score ⇢ 'x'

For finding the lowest score, we'll assume that rest of the students apart from the student with the lowest score ,scored 100

so,

• 14 students scored 100

Thus, the value of x

$⇢\frac{x + (14 \times 100)}{15} = 95$

$⇢\frac{x + 1400}{15} = 95$

$⇢x + 1400 = 95 \times 15$

$⇢x + 1400 = 1425$

$⇢x = 1425 - 1400$

$⇢x = \: 25$

Hence, the lowest possible score a student can get is 25

Answer 2

The 15 students in Miss Brown's class took a test.

The average for the class was 95 points.

The maximum possible score was 100 points.

Let 14 students get 100 marks on the test. And one student gets x marks.

Then the value of x will be

$\small\bold\pink{ →}\small\bold{ x + \frac{1400}{15} = 95}$

$\small\bold\pink{ →}\small\bold{x + 1400= 1425}$

$\small\bold\pink{ →}\small\bold{x = 25}$

The lowest scored a student in this class is 25.