SOLUTION: Ted needs an average of at least 70 on his three history tests. He has already scored 85 and 60 on two tests. What is the minimum grade Ted needs on his third test

Algebra.Com
Question 687686: Ted needs an average of at least 70 on his three history tests. He has already scored 85 and 60 on two tests. What is the minimum grade Ted needs on his third test
Answer by josh_jordan(263)   (Show Source): You can put this solution on YOUR website!
To solve, we first need to know how to find the average of a group of numbers. To find the average of a group of numbers, you add all the numbers together and divide that answer by the number of numbers you have. For instance, to find the average of 1, 2, 3, 4 and 5, we would add all the numbers together, which would equal 15. We would then divide that number by 5, because there are 5 numbers total: 15/5 = 3. So the average is 3.

Now, to find the average in your problem, we need to look at what we know:

He received an 85 and 60 on two of the test scores

He needs an overall average of 70

Let's set this up in equation form:



Now, let's get rid of our fraction on the left. We can do this by multiplying the entire equation by 3, giving us:

85 + 60 + x >= 210

Next, combine the numbers on the left, which will give us:

145 + x >= 210

Finally, subtract 145 from both sides, which will give us our answer:

145 + x - 145 >= 210 - 145 =

x >= 65

So, in order to average at least 70, he must score a 65 or higher on his third test.

RELATED QUESTIONS

Michael Scored 68,88, and 91 on three algebra Tests. What must he score on the fourth... (answered by ewatrrr)
a student scored 71,83, & 96 on three algebra tests. What must he score on the 4th test... (answered by josmiceli)
Ali scored 74, 82 and 60 for three of his maths tests. What is the lowest mark he must... (answered by Fombitz)
Bringing up your average. Felix scored 52 points and 64 points on his first two tests... (answered by Boreal)
A student has scores of 67.25, 66.75, and 72.5 on his first three tests. He needs an... (answered by oscargut)
A student has scores of 68.75, 69, and 71.25 on his first three tests. He needs an... (answered by lynnlo)
John has grades of 84 and 98 on his first two history tests. What must he score on his... (answered by ewatrrr)
If a student has an average of 76% on his first two tests and has an average of 85% on... (answered by math_helper)
A student scored 71, 83, and 96 on three algebra tests. What must he score on the fourth (answered by stanbon,solver91311)