https://file.aiquickdraw.com/mathbot/file/1726255734727mu4v5se4.jpg

Let's go through each of the questions from the image and solve them step by step.

### Question 75:
A television is priced at 704 BGN after a 20% discount. We need to find out what the original price was before the discount.

- Let the original price be \( P \).
- After a 20% discount, the price is \( P \times 0.8 = 704 \).
- Solving for \( P \):
\[
P = \frac{704}{0.8} = 880 \text{ BGN}.
\]
Thus, the original price was **880 BGN** (Option **b**).

### Question 76:
Ivo bought disks for 9 BGN, which is \( \frac{1}{3} \) of the money he had left. We need to calculate how much money Ivo originally had.

- Let the total money Ivo had be \( M \).
- After buying disks, he spent \( \frac{1}{3} \) of his remaining money. Therefore, \( \frac{2}{3}M = 9 \text{ BGN} \).
- Solving for \( M \):
\[
M = \frac{9 \times 3}{2} = 13.5 \text{ BGN}.
\]

It looks like none of the answer choices (38, 27, 36, or 18) match exactly.

### Question 77:
A tourist traveled for \( 3 \frac{1}{2} \) hours at a speed of \( 4 \frac{3}{4} \) km/h and for \( 3 \frac{1}{4} \) hours at a speed of \( 4 \frac{1}{4} \) km/h. We need to calculate the total distance traveled.

- First part: \( 3 \frac{1}{2} \text{ hours} \times 4 \frac{3}{4} \text{ km/h} \)
\[
3.5 \times 4.75 = 16.625 \text{ km}.
\]
- Second part: \( 3 \frac{1}{4} \text{ hours} \times 4 \frac{1}{4} \text{ km/h} \)
\[
3.25 \times 4.25 = 13.8125 \text{ km}.
\]
- Total distance: \( 16.625 + 13.8125 = 30.4375 \text{ km} \).

Therefore, the tourist traveled approximately **30 \( \frac{7}{16} \) km** (Option **b**).

### Question 78:
A worker’s salary increased from 400 BGN to 600 BGN. We need to find out the percentage increase.

- The increase in salary is \( 600 - 400 = 200 \text{ BGN} \).
- The percentage increase is:
\[
\frac{200}{400} \times 100 = 50\%.
\]

Thus, the percentage increase is **50%** (Option **a**).

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If you'd like further clarification or have questions about any specific step, feel free to ask!

Here are 5 related questions for further exploration:
1. How would the original price change if the discount was 30% instead of 20%?
2. If Ivo bought something that was 1/4 of his remaining money, how would that change his total?
3. What is the formula to calculate the average speed if the tourist's trip had multiple legs?
4. How can percentage increase or decrease be calculated using only the final value and the original value?
5. How would the salary increase differ if the new salary was 800 BGN instead of 600 BGN?

**Tip:** When dealing with percentages in financial problems, always check if the percentage increase or decrease applies to the base value or the final value.

1. After a 20% discount, a television costs 704 BGN. What was the original price before the discount? 2. Ivo bought disks for 9 BGN, which was 1/3 of his remaining money. How much money did Ivo originally have? 3. A tourist traveled for 3 1/2 hours at 4 3/4 km/h and for 3 1/4 hours at 4 1/4 km/h. What total distance did the tourist travel? 4. A worker's salary increased from 400 BGN to 600 BGN. What is the percentage increase?

Solve a range of mathematical problems involving discounts, proportions, distance-speed-time, and percentage increases. Learn how to calculate original prices, total money, distance traveled, and salary percentage increases with step-by-step solutions.

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