Question
At a theater out of theater the regular price of a ticket is $80 per person on Wednesday afternoons the theater offers a discount reducing the tickets price to $50 per person students received an additional 15 discount what is the percent discount of an $80 ticket for a student attending a Wednesday afternoon show number a 40% B 45% C 50% d 37.5%
Answers
GPT-4o mini
To find the percent discount of an \$80 ticket for a student attending a Wednesday afternoon show, we need to first calculate the total price for the student after applying the discounts.
1. **Regular price of the ticket:** \$80
2. **Wednesday afternoon discount:** \$80 - \$50 = \$30 discount
3. **Price after Wednesday discount:** \$50
4. **Student discount of 15% on \$50:**
\[
\text{Student discount} = 15\% \text{ of } 50 = 0.15 \times 50 = 7.5
\]
5. **Final price for the student:**
\[
\text{Final price} = 50 - 7.5 = 42.5
\]
6. **Total discount for the student from the original price:**
\[
\text{Total discount} = 80 - 42.5 = 37.5
\]
7. **Percent discount:**
\[
\text{Percent discount} = \left(\frac{\text{Total discount}}{\text{Original price}}\right) \times 100 = \left(\frac{37.5}{80}\right) \times 100
\]
\[
\text{Percent discount} = 46.875\%
\]
Rounding to two decimal places, the percent discount is approximately 46.88%. However, this value does not match the options given.
To fit it into one of the options:
- The closest option below 46.875% is **45%**.
Thus, the percent discount of an \$80 ticket for a student attending a Wednesday afternoon show is **B) 45%**.
1. **Regular price of the ticket:** \$80
2. **Wednesday afternoon discount:** \$80 - \$50 = \$30 discount
3. **Price after Wednesday discount:** \$50
4. **Student discount of 15% on \$50:**
\[
\text{Student discount} = 15\% \text{ of } 50 = 0.15 \times 50 = 7.5
\]
5. **Final price for the student:**
\[
\text{Final price} = 50 - 7.5 = 42.5
\]
6. **Total discount for the student from the original price:**
\[
\text{Total discount} = 80 - 42.5 = 37.5
\]
7. **Percent discount:**
\[
\text{Percent discount} = \left(\frac{\text{Total discount}}{\text{Original price}}\right) \times 100 = \left(\frac{37.5}{80}\right) \times 100
\]
\[
\text{Percent discount} = 46.875\%
\]
Rounding to two decimal places, the percent discount is approximately 46.88%. However, this value does not match the options given.
To fit it into one of the options:
- The closest option below 46.875% is **45%**.
Thus, the percent discount of an \$80 ticket for a student attending a Wednesday afternoon show is **B) 45%**.