To determine which incentive offers a better discount for Kyle's purchase of 20 prefilled decorated eggs, we will calculate the total cost for each incentive.
Calculating Incentive 1: Purchase any set of 3 prefilled eggs for $12.
First, we need to calculate how many sets of 3 eggs are in 20 eggs:
\[ \text{Number of sets} = \frac{20}{3} = 6 \quad \text{full sets} + 2 \quad \text{extra eggs} \]
Kyle can purchase 6 sets of 3 eggs and then buy 2 additional eggs.
Cost of 6 sets of 3 eggs:
\[ 6 \times 12 = 72 \quad \text{(for 18 eggs)} \]
Cost for the 2 extra eggs:
\[ 2 \times 5 = 10 \]
Total cost for 20 eggs using Incentive 1:
\[ 72 + 10 = 82 \]
Calculating Incentive 2: Take 20% off the entire purchase.
First, we calculate the total cost without any discounts:
\[ \text{Total cost without discount} = 20 \times 5 = 100 \]
Now, calculate 20% off this total cost:
\[ \text{Discount} = 0.20 \times 100 = 20 \]
Thus, the cost after the discount:
\[ \text{Total cost with discount} = 100 - 20 = 80 \]
Comparing both incentives:
- Total cost with Incentive 1: \( 82 \)
- Total cost with Incentive 2: \( 80 \)
Conclusion:
Incentive 2 offers a better discount.
The discount amount for Incentive 2 is \( 20 \) dollars.
Incentive 2 offers a better discount. The discount amount of this incentive is $20.00.