To determine which incentive offers a better discount, let’s calculate the total cost under each incentive for purchasing 20 prefilled decorated eggs.
Standard Pricing
The standard price for one egg is $5.00. Therefore, the cost for 20 eggs without any incentives is: \[ 20 \text{ eggs} \times $5.00/\text{egg} = $100.00 \]
Incentive 1: Purchase any set of 3 prefilled eggs for $12
We can buy sets of 3 eggs:
- The number of sets we can purchase is: \[ \text{Number of sets} = 20 \div 3 = 6 \text{ sets (with 2 eggs left over)} \] This means he can buy 6 sets of 3 eggs for: \[ 6 \text{ sets} \times $12/\text{set} = $72 \] Then, he will need 2 more eggs at full price: \[ 2 \text{ eggs} \times $5.00/\text{egg} = $10 \] So, the total cost with Incentive 1 is: \[ $72 + $10 = $82 \]
Incentive 2: Take 20% off the entire purchase
First, calculate the total purchase before the discount, which we already found to be $100. Now, we calculate 20% of that: \[ \text{Discount} = 20% \times $100 = 0.20 \times 100 = $20 \] Then, subtract the discount from the total cost: \[ \text{Total cost with Incentive 2} = $100 - $20 = $80 \]
Summary of Costs
- Cost with Incentive 1: $82
- Cost with Incentive 2: $80
Conclusion
Incentive 2 offers a better discount.
The discount amount for Incentive 2 is $20.00.
Thus, the answer is:
- Incentive 2 offers a better discount.
- The discount amount of this incentive is $20.00.
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