Ink, Inc., offers pencils at $1.10 per dozen, with a 1.5% discount for purchases of more than 12 dozen. If Jerry buys 19 dozen for his club, how much does he pay?

Answer 1

To find out how much Jerry pays for 19 dozen pencils, we can first calculate the total cost before any discounts are applied, and then apply the discount if applicable.

1. Calculate the cost before the discount:

   • The price of one dozen pencils is $1.10.
   • For 19 dozen, the total cost is: \[ 19 \times 1.10 = 20.90 , \text{dollars} \]

2. Check if the discount applies:

   • The discount of 1.5% applies to purchases of more than 12 dozen.
   • Since Jerry is purchasing 19 dozen, he qualifies for the discount.

3. Calculate the discount amount:

   • First, we need to find 1.5% of the total cost: \[ \text{Discount} = 0.015 \times 20.90 = 0.3135 , \text{dollars} \]

4. Subtract the discount from the total cost:

   • The final cost after applying the discount is: \[ 20.90 - 0.3135 = 20.5865 , \text{dollars} \]

5. Round to the nearest cent:

   • Rounding $20.5865 to the nearest cent gives us: \[ \text{Total cost} = 20.59 , \text{dollars} \]

Therefore, Jerry pays $20.59 for 19 dozen pencils.