SOLUTION: Plese Help me With this question: If your average in the first 7 quizzes is 72% and the passing grade is 75% what grade should you get in 8th quiz to get a passing average?

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Question 936883: Plese Help me With this question:
If your average in the first 7 quizzes is 72% and the passing grade is 75%
what grade should you get in 8th quiz to get a passing average?

Found 2 solutions by Theo, MathLover1:
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
if all tests have the same weight, then you would calculate as follows.

to get an overall average of 75 over 8 tests, then you would have to have a total of 8 * 75 = 600 points.

this is because 600 / 8 equals an average of 75 per test.

you already have a total of 504 points because 7 * 72 = 504.

you would need an additional 96 points in order to get a total of 600 points for the 8 tests.

that's the mark you will need on the eighth test.

look at it another way.

if you had a 75 average on the first 7 tests, then your total score for the first 7 test would have been 7 * 75 = 525.

since you only had 504, you were short 21 points.

on the last test, you need to get a 75 plus you have to make up for the shortfall from the first 7 test.

75 + 21 = 96.

any way you look at it, you would need a 96 on the last test to get an overall average of 75 on your tests.

average = total / number of tests.

total = average * number of tests.

Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!

the first quizzes is % or and
the passing grade is % or
there are quizzes in all; so, the sum of all quizzes is divided by
if quiz is , then we have

%