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2 votes
You and 3 other friends buy concert tickets during a promotion of $20 off each ticket. You and your friends spend a total of $420 dollars. What is the original price of each ticket without the discount? Type in your answer without the dollar sign.

2 Answers

4 votes

To find the original price of each concert ticket without the discount, you can follow these steps:

1. Let's assume the original price of each ticket is represented by "x".

2. Since you and your 3 friends bought tickets, the total number of tickets is 4.

3. The total cost of the tickets after the $20 discount per ticket is applied can be calculated by subtracting $20 from the original price, which gives us "x - 20".

4. Now, multiply the discounted price by the total number of tickets to find the total amount spent: (x - 20) * 4.

5. According to the problem, the total amount spent is $420, so we can set up an equation: (x - 20) * 4 = 420.

6. To find the original price of each ticket, we need to solve this equation. Start by dividing both sides of the equation by 4: (x - 20) = 420 / 4.

7. Simplifying further, we have: x - 20 = 105.

8. Finally, add 20 to both sides of the equation to isolate the variable "x": x = 105 + 20.

9. Evaluating the equation, we find that x = 125.

Therefore, the original price of each concert ticket without the discount is 125.

answered
User Kriysna
by
7.3k points
6 votes

answer: $160




explanation:

$420 / 3 = $140

so that means $140 spent per person.

so now we do take $140 and add $20

= $160 originally per person

therefore our answer is $160


(there are other ways to do the math too)

answered
User Dzmitry Huba
by
8.2k points

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