Jason earned scores of 90 points, 82 points, 95 points, and 86 points on four tests. What is the lowest score he can get on the fifth test and still finish with an average score of 90 points?

95 points

96 points

97 points

98 points

Verified Answer :

Hi, the answer is 97 points. I hope this helps.

Answer:

97 points

Step-by-step explanation:

Given,

His scores, in first test = 90 points,

In second test = 82 points,

In third test = 95 points,

In fourth test = 86 points,

Let he scores x points on the fifth test,

Thus, the total sum of the scores in five tests = 90 + 82 + 95 + 86 + x

= 353 + x

Also, The Average scores in these five test = 90

We know that,

\(\text{Average score}=\frac{\text{Total sum of the scores}}{\text{Total number of tests}}\)

Here, total number of tests = 5,

\(90=\frac{353+x}{5}\)

\(450=353+x\implies x = 450-353=97\)

Hence, the lowest score he can get on the fifth test and still finish with an average score of 90 points is 97 points.