The number of tickets sold at the Amazing Art Museum on Saturday was 175% of the ticket sales on Friday. If 2,000 tickets were sold on Friday, how many tickets were sold on Saturday?

Which statements are correct? Check all that apply.

The answer will be less than 2,000 because 100 is less than 175.
The answer will be greater than 2,000 because 175 is greater than 100.
The answer will be equal to the sum of 2,000 and 175.
The answer will be equal to the product of 175 and 20.
The answer will be equal to the quotient of 2,000 and 175.

1 answer

To find the number of tickets sold on Saturday, we first need to calculate 175% of the 2,000 tickets sold on Friday.

  1. Calculate 175% of 2,000: \[ 175% = \frac{175}{100} = 1.75 \] \[ \text{Tickets sold on Saturday} = 2,000 \times 1.75 = 3,500 \]

Now we can evaluate the statements based on this result (3,500 tickets):

  1. The answer will be less than 2,000 because 100 is less than 175.

    • False. The answer (3,500) is greater than 2,000.
  2. The answer will be greater than 2,000 because 175 is greater than 100.

    • True. Since 175% of 2,000 is calculated as greater than 2,000, this statement holds.
  3. The answer will be equal to the sum of 2,000 and 175.

    • False. The sum of 2,000 and 175 is 2,175, which is not equal to 3,500.
  4. The answer will be equal to the product of 175 and 20.

    • False. The product of 175 and 20 is 3,500, so this statement appears true; however, it is based on how we interpret it. If we were looking for the calculation directly relative to tickets, it doesn't express the relationship we seek.
  5. The answer will be equal to the quotient of 2,000 and 175.

    • False. The quotient of 2,000 and 175 is approximately 11.43, which is not equal to 3,500.

Summary:

The true statements are:

  • The answer will be greater than 2,000 because 175 is greater than 100.
  • The answer will be equal to the product of 175 and 20. (If interpreted correctly in terms of multiplying percentages, although it seems a bit misplaced in context).

The correct answer set includes only the second statement clearly.