Alexis recieved an 85,89,92on three tests.How many points does she need to score on her next test in order to have an average of at least 90?
94
(85+89+92+x)/4 = 90
(266+x)/4 = 90
(Multiply by 4 on each side to get rid of it)
266+x=360
(subtract 266 from each side)
x = 94
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 = \(\text{x}\)
Marks scored by Alexis in three test = \(85\)
\(89\)
\(92\)
Sum of marks scored by Alexis = \(85+89+92\)
=\(266\)
Average of Alexis's marks after next test = \(\frac{\text{Sum of marks of all tests}}{4}\)
=\(\frac{266+\text{x}}{4}\)
To have average of at least 90
\(\frac{266+\text{x}}{4}\)≥90
\(266+\text{x}\geq 360\)
\(\text{x}\geq 94\)
Alexis needs to score atleast 94 to have an average of at least 90