Answer:
93
Step-by-step explanation:
Setup an equation. Add the 5 tests together, the unknown test will be represented by x, Since there are 5 tests total, you will divide by 5. to find the average.
[tex]\frac{89 + 85+96+87+x}{5} = 90[/tex]
To solve first multiply both side by 5.
[tex](5) \frac{89 + 85+96+87+x}{5} = 90 (5)[/tex]
[tex]89 + 85+96+87+x = 450[/tex]
Add the left side and then solve for x
[tex]357 + x = 450[/tex]
Subtract 357 from both sides
357 - 357 + x = 450 - 357
x = 93
The last test has to be a score of 93 to get an average of 90.