My average is a 74 right now. My grades are

70( which counts as 60% as my grade and i have 2 more major test coming up)
94, 60 (which counts as 25% and i have about 5 more of this coming up)
90,100,83,91,71( i have about 3 more of these and they count as 15%)
This was an extension to my last question. I know this is a lot but what grades what i need to get in order to get an 85?

If you get an average of a,b,c from now on for the 3 sections, respectively, you want the weighted sum to be 85 points:

.6(70+2a)/3+.25(94+60+5b)/7+.15(90+100+83+91+71+3c)/8 = 85

0.4a + 0.1785b + 0.05625c + 27.6563 = 85
0.40a + 0.18b + 0.06c = 57.35

If you got 90% on everything from now on, that would give you an extra

.4*90 + .18*90 + .06*90
= 36+16.2+.54=52.74 points, which would still fall short of the goal.

Play around with a,b,c to see how you have to perform on the rest of the tests. Good luck. You have made some good scores, so you know it can be done, but it's be hard going.

To calculate the grades you need to achieve in order to get an 85 average, you will need to consider the weightage of each category in your final grade.

Based on the information you provided:

1. The first category, which counts as 60% of your grade, includes one test (70).
2. The second category, which counts as 25% of your grade, includes two tests (94 and 60).
3. The third category, which counts as 15% of your grade, includes five tests (90, 100, 83, 91, and 71).

To calculate the grades you need, follow these steps:

Step 1: Calculate the current weighted grade:

First category weight: 60% * 70 = 42
Second category weight: 25% * ((94 + 60) / 2) = 37
Third category weight: 15% * ((90 + 100 + 83 + 91 + 71) / 5) = 17.25

Current weighted grade: 42 + 37 + 17.25 = 96.25

Step 2: Determine the average grade you need to reach:

Now, you want to determine the average grade required to achieve your desired overall average of 85. Let's assume you have n upcoming tests in each category and you need to achieve a certain average grade, "x," in each category.

So, you need to solve the following equation:

(42 + 60n) * (60/100) + (37 + 95n) * (25/100) + (17.25 + xn) * (15/100) = 85

Simplifying the equation:

25.2n + 9.25n + 2.5875 + 0.15n = 85 - 42 - 37 - 17.25
34.45n + 2.5875 + 0.15n = 28.75
34.6n = 26.1625
n = 0.758 (approximately)

So, you need to aim for approximately 0.758 (let's assume 1) additional tests in each category.

Step 3: Calculate the required grades in each category:

First category: 70 * (1 + 0.758) = 125.06 (round to 125)
Second category: 80 * (1 + 0.758) = 143.48 (round to 144)
Third category: 70 * (1 + 1) = 140

To achieve an 85 average, you need to aim for approximately 125 in the first category, 144 in the second category, and 140 in the third category to account for the upcoming tests. Keep in mind that these calculations assume that the upcoming tests have the same distribution of grades as the previous ones.