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If the academy staff purchases 25 badges at $32 each with a 20% discount, what is the total amount spent on badges?

  1. $800

  2. $790

  3. $640

  4. $16

The correct answer is: $640

To find the total amount spent on badges, it's important to first determine the total cost without the discount. The price of each badge is $32, and with 25 badges being purchased, the initial calculation would be: Total Cost = Number of Badges × Price Per Badge Total Cost = 25 × 32 = $800 Next, we need to apply the 20% discount to the total cost. A 20% discount means you retain 80% of the total cost. To calculate this: Amount after discount = Total Cost × (1 - Discount Rate) Amount after discount = $800 × (1 - 0.20) Amount after discount = $800 × 0.80 Amount after discount = $640 Thus, the total amount spent after applying the discount for the badges is $640. This calculation reflects the correct understanding of how discounts work, confirming that the total expenditure on the badges, considering the provided discount, is correct.