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.
(1 point)
Incentive
offers a better discount. The discount amount of this incentive is $
.
First, let's calculate the cost of purchasing 20 prefilled decorated eggs without any discounts. Since each egg is priced at $5.00, the total cost would be 20 * $5.00 = $<<20*5=100.00>>100.00.
Next, let's calculate the total cost using Incentive 1. In this incentive, Kyle can purchase any set of 3 prefilled eggs for $12. Since Kyle wants to purchase 20 eggs, he would need to buy 20/3 = 6.67 sets of 3 eggs.
Since Kyle cannot purchase a partial set, he would need to round up to the nearest whole number, which is 7. Therefore, the total cost using Incentive 1 would be 7 * $12.00 = $<<7*12=84.00>>84.00.
Finally, let's calculate the total cost using Incentive 2. In this incentive, Kyle can take 20% off his entire purchase. The discount amount would be 20% * $100.00 = $<<20/100*100=20.00>>20.00. Therefore, the total cost using Incentive 2 would be $100.00 - $20.00 = $<<100-20=80.00>>80.00.
Comparing the total costs, we can see that Incentive 2 offers a better discount. The discount amount for Incentive 2 is $20.00.