Question

Adam's average homework score, worth 40% of his grade, is 76%.
His average unit test score, worth another 40%, was 81%. The
final makes up the rest of his total grade. What is the minimum
number of questions he need to answer correctly on the 50-question
final exam to earn a B (80%) in the class?

Answer 1

Hello Shaketa! Welcome to QuestionCove :)

Give me a minute to read your question

Answer 2

ok, so here is the process for your question:

We want to work with the decimal representations of the percents

` (percent)*(grade) + (percent)*(grade) + (percent)*(grade) = Final percent `

If I plug in what I know, then we have:
` (0.4)*(76) + (0.4)*(81) + (0.2)*(?) = 80 `

Answer 3

I am using 0.4 because that is the decimal version of 40%
and I used 0.2 for the other one because the final is worth 20%

Answer 4

The ? value will be the percent that Adam needs to get on his final -> convert it to a decimal and multiply by 50 to figure out the number of questions

Answer 5

Let me know if you need me to take you through the smaller steps - I just covered the main ideas

Answer 6

Adam's average homework score, worth 40% of his grade, is 76%.
His average unit test score, worth another 40%, was 81%. The
final makes up the rest of his total grade. What is the minimum
number of questions he need to answer correctly on the 50-question
final exam to earn a B (80%) in the class?

40 questions


45 questions


42 questions


43 questions

Answer 7

Thanks for including your options

if you follow the steps that I outlined, you'll be able to get your answer

Answer 8

` (0.4)*(76) + (0.4)*(81) + (0.2)*(?) = 80 `

let's first simplify this math, what would you get?