Answer:
94
Step-by-step explanation:
Given: Alexis recieved an 85,89,92on three tests
To Find: Number of points she needs to score in order to have an average of atleast 90.
Solution:
Let the marks scored by Alexis in next test = [tex]\text{x}[/tex]
Marks scored by Alexis in three test = [tex]85[/tex]
[tex]89[/tex]
[tex]92[/tex]
Sum of marks scored by Alexis = [tex]85+89+92[/tex]
=[tex]266[/tex]
Average of Alexis's marks after next test = [tex]\frac{\text{Sum of marks of all tests}}{4}[/tex]
=[tex]\frac{266+\text{x}}{4}[/tex]
To have average of at least 90
[tex]\frac{266+\text{x}}{4}[/tex]≥90
[tex]266+\text{x}\geq 360[/tex]
[tex]\text{x}\geq 94[/tex]
Alexis needs to score atleast 94 to have an average of at least 90
