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. 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 analyze both incentives to determine which one is better for Kyle.

Regular Price Calculation:

First, calculate the total cost of buying 20 eggs at the regular price of $5.00 each:

\[ \text{Total cost without incentives} = 20 \times 5.00 = 100.00 \]

Incentive 1: Sets of 3 for $12

Kyle can buy sets of 3 eggs. Since he wants 20 eggs, he needs to buy 6 sets of 3 eggs to cover 18 eggs, and then he will need to buy 2 additional eggs at the regular price:

• 6 sets of 3 eggs cost:

\[ 6 \times 12 = 72.00 \]

• Cost of 2 additional eggs:

\[ 2 \times 5.00 = 10.00 \]

• Total cost using Incentive 1:

\[ 72.00 + 10.00 = 82.00 \]

Incentive 2: 20% Off Entire Purchase

Now, let's calculate the total cost with a 20% discount:

• Calculate 20% of the original total:

\[ 20% \text{ discount} = 0.20 \times 100.00 = 20.00 \]

• Total cost with 20% off:

\[ 100.00 - 20.00 = 80.00 \]

Comparing the Discounts:

Now, let's see which incentive is better:

1. Incentive 1 total: $82.00
2. Incentive 2 total: $80.00

Incentive 2 provides a better discount, as it costs $80.00 compared to $82.00.

Discount Amount:

Now, we calculate the discount amount using Incentive 2:

\[ \text{Discount amount} = \text{Original total} - \text{Total cost with discount} = 100.00 - 80.00 = 20.00 \]

Conclusion:

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