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Question: 1 / 160

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

$800

$790

$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.

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