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 $.
To calculate the discount amount for Incentive 1, we need to determine the cost of purchasing 20 prefilled eggs individually. Each egg is priced at $5.00, so 20 eggs would cost 20 * $5.00 = $<<20*5=100.00>>100.00.
With Incentive 1, Kyle can purchase sets of 3 eggs for $12. To determine how many sets of 3 eggs he can purchase, we divide the total number of eggs by 3: 20 eggs / 3 = 6 sets of eggs.
To calculate the cost of purchasing these sets, we multiply the number of sets by the price per set: 6 sets * $12.00/set = $<<6*12=72.00>>72.00.
Therefore, with Incentive 1, Kyle would only have to pay $72.00 for the 20 prefilled eggs, resulting in a discount of $100.00 - $72.00 = $<<100-72=28.00>>28.00.
With Incentive 2, Kyle would receive a 20% discount on the entire purchase of $100.00, resulting in a discount of $100.00 * 0.20 = $<<100*0.20=20.00>>20.00.
Comparing the two discounts, we can see that Incentive 1 offers a better discount of $28.00.
are you a 100% sure
I apologize for the confusion. Allow me to recalculate:
Incentive 1: 20 eggs can be purchased in sets of 3 for $12. Since the sets must be purchased as a whole, Kyle would need to buy 6 sets, resulting in a total cost of 6 sets * $12 per set = $72. This results in a discount of $100 - $72 = $28.
Incentive 2: A 20% discount is applied to the entire purchase. 20% of $100 is $20.
Comparing the two discounts, Incentive 1 offers a better discount of $28.
Apologies for the error in my previous response.