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PD0107 · Problem 12

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Problem

An electronics store is offering two different discounts on its headphones: a volume discount for large orders and a promo code discount. For orders with nn headphones, where 10<n<5010 < n < 50, a volume discount of n%n\% off the original price of $60 is applied to the price of each headphone. If a promo code is applied to the order, a discount of an additional $3 is applied to the price of each headphone, after the volume discount is applied. For a certain order with both the volume discount and the promo code applied, the total price after the discounts for the headphones purchased was $1,050. How many headphones were purchased in this order?
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