A girl has a score of 59 and wants to know how to get a mean of 69. She would like to use two more scores to get that mean. What numbers did she use?
Please help!
Set the problem like this:
59 + x + x / 3 (because it's total 3 tests))
Set the above equal to 69 (your desired result)
SO: 2x + 59 = 207 (which is 69 * 3)
2x = 207 - 59
2x = 148
x = 74
She used to scores of 74 to get a mean of 69. Hope this helps!
FYI You can check the final answer like so:
59 + 74 + 74/3
You should get an answer of 69! Voila!
This is assuming that the two scores are the same. Is that true?
Even if it is, the equation is more clearly written:
(59 + x + x)/3 = 69
Otherwise, it might be assumed that only the last x is divided by 3.
I hope this helps a little more.
To solve this problem, we need to find the sum of all the scores and then divide it by the total number of scores to find the mean.
Let's assume the two missing scores are represented by x and y.
We know that the girl's current score is 59 and she wants to achieve a mean of 69. Therefore, the sum of all three scores (including the two missing scores) should be (69 x 3) = 207.
We can set up the following equation to represent the sum:
59 + x + y = 207
Now we can solve for x and y:
x + y = 207 - 59
x + y = 148
Since we have two variables (x and y) and only one equation, there are multiple solutions. To find possible values of x and y, we can assign a value to one of the variables and calculate the other.
For example, let's assume x = 70:
70 + y = 148
y = 148 - 70
y = 78
So, if the girl uses the scores 70 and 78, she will achieve a mean of 69. However, there could be other combinations of x and y that would also give the same mean, so additional solutions are possible.