# Grades in three tests in College Algebra are 87,59 and 73. The average after final is 75 To calculate:The points needed on the final to average the points to 75.

Grades in three tests in College Algebra are 87,59 and 73.
The average after final is 75
To calculate:The points needed on the final to average the points to 75.
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Layton
Calculation:
Let the grade in the final test be x
Average of n numbers ${a}_{1}+{a}_{2}+{a}_{3}+...+{a}_{n}$ is given by $A=\frac{{a}_{1}+{a}_{2}+{a}_{3}+...{a}_{n}}{n}$
Plugging the values,
$A=\frac{87+59+73+x}{4}$
Given average is 75
Therefore,
$75=\frac{87+59+73+x}{4}$
Multiplying both sides by 4
$75\ast 4=\frac{87+59+73+x}{4\ast 4}$
$300=219+x$
Subtracting 219 from both the sides, $300—219=219+x—219$
$81=x$
$x=81$
Therefore the score required in final test to get an average of 75 is 81.