Question

A student has successfully passed 60 percent of the 20 quizzes he has written so far. If the student writes 50 quizzes during the year, and successfully passes 80 percent of the remaining quizzes, what is his percent success rate for all his quizzes for the entire year?

Answer 1

If there are 50 quizzes and the student has taken 20 so far, that means there are 30 remaining quizzes. Now we need to find the overall percentage if the student scores 60% on 20 quizzes and 80% on 30 quizzes.

To do this, we need to figure out what percentage of 50 is 20. 

$\frac{20}{50}=0.4$ or 40%

If 20 quizzes make up 40% of the total, then the remaining 30 quizzes make  up 60%. Now we need to multiply the scores earned by the max possible points out of 100.

0.6(40) + 0.8(60) = 72

The answer is 72%.

Answer 2

His average percentile is 72%

• A student passed 60 percent out of 20 quizzes
• 50 quizzes in a year and passed 80 percent of the remaining quizzes
• The success rate for all his quizzes for the entire year is unknown.

Further Explanation

A student passed 60 percent out of 20 quizzes, which can be expressed as

$\frac{60}{100}$ x $20$

$60$ x $\frac{20}{100}$

$\frac{1200}{100}$

$12$

Therefore the remaining quizzes will be:

$50$ - $20$

$30$quizzes

Also, we have to determine the 80% of 30 quizzes, which can also be expressed as

$\frac{80}{100}$ x $30$

$80$ x $\frac{30}{100}$

$\frac{2400}{100}$

$24$

To find the total remaining quizzes, then we have to add both value together

Therefore, we have

$30$ + $24$

$36$

Thus, the total remaining quizzes is 36.

Now, if the student writes 50 quizzes during the year, his average percentile would be:

$\frac{36}{50}$ x $100%$

$0.72$ x $100%$

$72%$

Therefore, the his average percentile is 72%

LEARN MORE:

• A student has successfully passed 60 percent of the 20 quizzes he has written so far https://brainly.com/question/10199310
• A student has successfully passed 60 percent of the 20 quizzes he has written so far https://brainly.com/question/6687439

KEYWORDS:

• quizzes
• students
• percentage
• success year
• entire year