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Let's go through the problem step-by-step.

### Step 1: Analyze the quizzes passed so far
- The student has taken 20 quizzes.
- He passed 60% of these 20 quizzes.

Calculate the number of quizzes he passed:
\[
20 \times 0.6 = 12
\]
So, the student has passed 12 quizzes out of the 20 quizzes taken so far.

### Step 2: Determine the total number of quizzes for the year
- The student will take a total of 50 quizzes during the year.
- This means he has 50 - 20 = 30 quizzes remaining to take.

### Step 3: Calculate the quizzes passed in the remaining 30 quizzes
- The student is expected to pass 80% of the remaining 30 quizzes.

Calculate the number of quizzes passed:
\[
30 \times 0.8 = 24
\]
So, he will pass 24 of the remaining 30 quizzes.

### Step 4: Calculate the total quizzes passed out of the entire 50 quizzes
Add up the quizzes passed:
\[
12 + 24 = 36
\]

### Step 5: Find the percentage of quizzes passed for the entire year
The percentage of quizzes passed out of the total 50 quizzes is:
\[
\frac{36}{50} \times 100 = 72\%
\]

### Final Answer
The student successfully passed **72%** of the quizzes for the entire year.

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Would you like further details on any part of this solution, or do you have any questions?

Here are 5 related questions that expand on this problem:
1. What if the student passed 70% of the 20 quizzes initially taken?
2. How would the result change if the student passed 75% of the remaining quizzes instead of 80%?
3. If the total number of quizzes was 60 instead of 50, how would the final percentage change?
4. What percentage would be required for the remaining quizzes if the goal was to pass 80% for the year?
5. If the student failed 20% of the quizzes he has taken, what percentage did he pass?

**Tip:** In multi-step problems, break down the problem into smaller parts and solve each part systematically before combining results.

A student has successfully passed 60 percent of the 20 quizzes he has taken so far. If the student takes 50 quizzes during the year, and successfully passes 80 percent of the remaining quizzes, what percent of quizzes are successfully passed for the entire year?

Determine the percentage of quizzes a student has successfully passed for the entire year. Given that the student initially passed 60% of 20 quizzes and is expected to pass 80% of the remaining quizzes, learn how to calculate the overall success rate for 50 quizzes. Ideal for Grades 6-8 students studying percentages.

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