Grades in three tests in College Algebra are 87,59 and 73. The final carries double weight. The average after final is 75 The points needed on the final to average the points to 75 when the final carries double weight.

Falak Kinney

Falak Kinney

Answered question

2021-02-21

Grades in three tests in College Algebra are 87,59 and 73.
The final carries double weight.
The average after final is 75
The points needed on the final to average the points to 75 when the final carries double weight.

Answer & Explanation

Tuthornt

Tuthornt

Skilled2021-02-22Added 107 answers

Calculation:
Let the grade in the final test be x
Average of n numbers a1+a2+a3+...an is given by A=a1+a2+a3+...+ann
Since the final carries double weight, it is considered as 2 numbers and the score is doubled,
i.e.,
A=87+59+73+2x5
Given average is 75
Therefore,
75=87+59+73+2x5
Multiplying both sides by 5
755=87+59+73+2x55
375=219+2x Subtracting 219 from both the sides,
375219=219+2x219
156=2x
2x=156
Dividing both sides by 2,
2x2=1562
x=78
Therefore the score required in final test to get an average of 75 with double weight for final test is 78.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in College algebra

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?