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)
To determine which incentive offers a better discount, let's calculate the total cost using each incentive.
Incentive 1: Purchase any set of 3 prefilled eggs for $12.
To calculate the cost using this incentive, we need to divide the total number of eggs by 3 to calculate the number of sets needed. Since Kyle wants to purchase 20 eggs, he will need to purchase 6 sets (18 eggs) and an additional 2 eggs.
The cost of 6 sets of eggs is 6 sets * $12/set = $<<6*12=72>>72.
The cost of 2 additional eggs is 2 eggs * $5/egg = $<<2*5=10>>10.
So the total cost using incentive 1 is $72 + $10 = $<<72+10=82>>82.
Incentive 2: Take 20% off your entire purchase.
To calculate the cost using this incentive, we need to find 20% of the total cost of $5/egg * 20 eggs = $<<5*20=100>>100.
20% of $100 is 20/100 * $100 = $<<20/100*100=20>>20.
So the total cost using incentive 2 is $100 - $20 = $<<100-20=80>>80.
Therefore, incentive 2 offers a better discount and the discount amount is $82 - $80 = $<<82-80=2>>2. Answer: \boxed{2}.