Kyle wants to purchase 20 prefilled decorated eggs to set up an egg hunt for his nephews and nieces. Each egg is priced at $5.00, and the store offers two different incentives.

Question

Incentive 1: Purchase any set of 3 prefilled eggs for $12.
Incentive 2: Take 20% off your entire purchase.
Determine whether incentive 1 or incentive 2 offers a better discount. Find the discount amount. Round the answer to two decimal places as necessary.

Incentive ( ) offers a better discount. The discount amount of this incentive is $( )

Answer 1

Let's calculate the total cost using both incentives to see which one offers the better discount.

Initial Cost

If Kyle purchases 20 prefilled decorated eggs at $5.00 each, the initial cost is:

\[ \text{Total cost} = 20 \times 5 = 100 \text{ dollars} \]

Incentive 1: Purchase Set of 3 Eggs for $12

To use this incentive, we need to see how many sets of 3 Kyle can buy:

• Number of sets of 3 in 20 eggs: \[ \frac{20}{3} = 6 \text{ sets} \quad (\text{with 2 eggs left over}) \]

• Cost for 6 sets of 3 eggs: \[ 6 \times 12 = 72 \text{ dollars} \]

• Plus the cost of the additional 2 eggs: \[ 2 \times 5 = 10 \text{ dollars} \]

• Total cost with Incentive 1: \[ 72 + 10 = 82 \text{ dollars} \]

Incentive 2: 20% off the Entire Purchase

Calculating the discount for this incentive:

• 20% of the initial cost: \[ 0.20 \times 100 = 20 \text{ dollars} \]

• Total cost after applying the discount: \[ 100 - 20 = 80 \text{ dollars} \]

Summarizing Costs

• Cost with Incentive 1: $82
• Cost with Incentive 2: $80

Conclusion

Incentive 2 offers a better discount.

Discount amount:

The discount offered by Incentive 2 is: \[ \text{Amount} = 20 \text{ dollars} \]

Thus, the completed statement is:

Incentive ( 2 ) offers a better discount. The discount amount of this incentive is $( 20.00 )$.