Question

The price of a ticket to a play is $50 per person. On Monday afternoons, the theater reduces the ticket price to $35 per person. Students receive an additional $5 discount on all tickets. What is the percent discount for a student ticket to a Monday afternoon performance?

Answer 1

The original ticket price for a play is $50 per person. On Monday afternoons, the theater reduces the ticket price to $35 per person. This means there is a discount of:

`\text{Discount = Original price - Reduced price}`

`\text{Discount} = \$50 - \$35`

`\text{Discount} = \$15`

Therefore, the discount for a regular ticket to a Monday afternoon performance is $15 per person.

Now, students receive an additional $5 discount on all tickets. This means the total discount for a student ticket to a Monday afternoon performance is:

`\text{Total Discount = Regular Discount + Student Discount}`

`\text{Total Discount} = \$15 + \$5`

`\text{Total Discount} = \$20`

To calculate the percentage discount for a student ticket, we need to divide the total discount by the original ticket price and then multiply by 100:

`\text{Percentage Discount} = \frac{\text{Total Discount}}{\text{Original Price}} ) * 100\%`

`\text{Percentage Discount} = ((\$20)/(\$50) ) * 100\%`

`\text{Percentage Discount} = 40\%`

Therefore, the percentage discount for a student ticket to a Monday afternoon performance is 40%.