Question

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?

Answer 1

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 2

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