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 $
.
In order to determine which incentive offers a better discount, we need to calculate the total cost of purchasing 20 prefilled eggs under each incentive and compare the results.
Under Incentive 1:
The cost of purchasing 20 prefilled eggs at $5.00 per egg is: 20 * $5.00 = $<<20*5=100.00>>100.00
Since Incentive 1 allows the purchase of any set of 3 eggs for $12, we would need to purchase 20 / 3 sets of eggs. The closest number of sets we can purchase is 20 / 3 = 6 sets.
The cost of purchasing 6 sets of eggs under Incentive 1 is: 6 * $12 = $<<6*12=72.00>>72.00
Under Incentive 2:
The cost of purchasing 20 prefilled eggs at $5.00 per egg is: 20 * $5.00 = $<<20*5=100.00>>100.00
Incentive 2 offers a discount of 20%, which means we get to pay only 80% of the original amount.
The discounted cost under Incentive 2 is: $100.00 * 0.80 = $<<100*0.80=80.00>>80.00
Comparing the results, we can see that Incentive 2 offers a better discount. The discount amount of this incentive is $100.00 - $80.00 = $<<100-80=20.00>>20.00.