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.
To determine which incentive offers a better discount, we need to calculate the total cost for each incentive.
Incentive 1:
For every set of 3 prefilled eggs, the cost is $12.
Since Kyle wants to purchase 20 eggs, he would need 20/3 = 6.67 sets of eggs.
He must round up to the nearest whole number since he cannot buy a fraction of a set.
So, he would need to buy 7 sets of eggs.
Therefore, the total cost for incentive 1 is 7 * $12 = $84.
Incentive 2:
The store offers a 20% discount on the entire purchase.
The total cost for 20 eggs without any discount is 20 * $5 = $100.
The discount amount is 20% of $100, which is 20/100 * $100 = $20.
Therefore, the total cost for incentive 2 is $100 - $20 = $80.
Incentive 2 offers a better discount as the total cost is lower ($80) compared to incentive 1 ($84).
The discount amount for incentive 2 is $20.