Question

A Museum opened at 8:00 a.m. In the first hour, 350 people purchased admission tickets. In yhe second hour, 20% more people purchased admission tickets than in the first hour. Each admission ticket cost $17.50. What was the total amount of money paid for all the tickets purchased in the first two hours? Show your work.

Answer 1

To find how many dollars were earned in the two hours we need to know how many tickets were purchased by people. To find this we need to find how many people purchased tickets in the second hour. Let's use this statement to find our final answer.

First, we need to find how many people purchased admission tickets in the second hour. This is 20% more than the first hour, or 120% of the total admission tickets sold. Thus, we can find this number by the setup:
350 * 120% = 350 * 1.2 = 420 tickets

Thus, the amount of tickets that were purchased in the first and second hour together is:
350 + 420 = 770 tickets

The total amount of money that was paid for these tickets is:
770 * 17.50 = $13,475

Thus, the total amount of money paid for all the tickets purchased in the first two hours is $13,475.

Answer 2

First hour = 350 people

Second hour = 20% more people 

20% x 350 = 0.2 x 350 = 70

350 + 70 = 420

Second hour = 420 people

Total number of people in the first 2 hours = 350 + 420 = 770

Total amount paid = 770 x $17.50 = $13475

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Answer: Total amount money paid for all the tickets = $13475.
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