Question

Will medal and fan!
Amanda's first four test scores are 77, 95, 84, and 69. What does Amanda need to score on the next test to have at least an 82 average?
A)
85 or greater
B)
90 or greater
C)
greater than 85
D)
greater than 92

Answer 1

Thanks for your help in advance! :)

Answer 2

hmm

Answer 3

Let's find the average of his first 4 test scores. What would that be?

Answer 4

hmm

Answer 5

do you know how to find the mean?

Answer 6

yeah add the numbers then divide the number of numbers right?

Answer 7

yeah.

Answer 8

to the sum of all the numbers?

Answer 9

you add up all the numbers and then divide by the number of numbers

Answer 10

you add all the scores up and divided them by how many numbers you added up. In this case, you'd add 77, 75, 84, and 69. Then you divided by four because there are four numbers.

Answer 11

so in this case............. all combined would be 325 divided by 4 would be..............

Answer 12

total is 81.25

Answer 13

yep.

Answer 14

81.25!

Answer 15

you got it.

Answer 16

So what is it asking in this case?

Answer 17

Alright, so you got 81.25. Now if those 5 test are 100% of his grade, what % would each test be worth?

Answer 18

or what is the answer lol.

Answer 19

so dividing 100 and 5 would be..............

Answer 20

20%

Answer 21

20%, right

Answer 22

awesomesauce!

Answer 23

yeah

Answer 24

Right! Which would also be .20 out of 1. See how I got that part?

Answer 25

20 out of 1?

Answer 26

.20, not 20

Answer 27

.20 ok

Answer 28

20% = 0.20

Answer 29

So since you got those two numbers, multiply 81.25 and .20 for me

That will give you his current grade

Answer 30

ok because 20% is some of it not all so it would be behind the decimal ok i get it.

Answer 31

ok.

Answer 32

And right

Answer 33

16.25?.....

Answer 34

Wait, my fault

I meant multiply 81.25 and .80

Answer 35

oh ok lol

Answer 36

Because he's completed 4/5 test and 4/5 = .80

My bad

Answer 37

ooh 65%

Answer 38

Yes, so thats what he has

Answer 39

that is not a good or passing grade XD

Answer 40

lol

Answer 41

so what is the answer @FortyTheRapper?

Answer 42

in my school, 72% is passing.

Answer 43

cause 65% not a answer choice @FortyTheRapper

Answer 44

Now the grade he wants is a 82, but he has a 65.. so lets subtract 82 and 65

Answer 45

17%

Answer 46

That will get him the number of points out of the 20% he needs

And right, 17/20

Answer 47

So last step is to convert

20 times ? = 100

Answer 48

yes

Answer 49

this is kind of a complicated way of doing it...

If the student needs 82% average for 5 tests, each worth 100 points, and previous test scores are 77, 95, 84, and 69:

\[\frac{\text{points earned}}{\text{points possible}} \ge 82\%\]
But points earned will be \[77+95+84+69 +x\]where \(x\) is the score on the upcoming test.

\[\frac{77+95+84+69 +x}{100+100+100+100+100} = 0.82\]will give the lowest score possible to get an \(82\%\) average.

Answer 50

5

Answer 51

20 times 5 is 100

Answer 52

Right, so to convert you would do the same to the top

17 times 5 = ?
-----
20 times 5 = 100%

Answer 53

17 times 5 is 85.

Answer 54

Right, so he would need a 85/100 to get that 82 average

Answer 55

correct!

Answer 56

so A?

Answer 57

Yep

Answer 58

ok tysm @FortyTheRapper here is your medal and fan!

Answer 59

closing question have a good day!

Answer 60

You too