Answer :
Sure, let's solve the problem step-by-step.
1. Understanding the Discount Policy:
- The regular price for one kilo of Persian rice is [tex]$5.
- For every 4 kilos purchased, the seller offers a 20% discount.
2. Calculating the Discounted Price:
- Normally, 4 kilos would cost \(4 \times 5 = 20 \) dollars.
- With a 20% discount, the price for 4 kilos becomes \( 20 \times (1 - 0.20) = 20 \times 0.80 = 16 \) dollars.
3. Total Kilos Purchased:
- Josephine bought 12 kilos of rice.
4. Determining the number of Discounted Sets:
- Divide the total kilos purchased by the threshold for the discount:
\[
\text{Number of discounted sets} = \frac{12}{4} = 3
\]
- So she gets 3 sets of 4 kilos at the discounted price.
5. Calculating the Cost for the Discounted Sets:
- Each set of 4 kilos costs $[/tex]16 after discount.
- For 3 sets, the cost would be:
[tex]\[
3 \times 16 = 48 \text{ dollars}
\][/tex]
6. Calculating Remaining Kilos:
- Since 12 kilos exactly breaks down into 3 sets of 4 kilos each, there are no remaining kilos outside of the discounted sets.
7. Summing Up the Total Cost:
- The cost of the discounted sets is $48.
- There are no additional kilos to consider.
Therefore, the total amount Josephine paid for 12 kilos of Persian rice is [tex]\(48\)[/tex] dollars.
1. Understanding the Discount Policy:
- The regular price for one kilo of Persian rice is [tex]$5.
- For every 4 kilos purchased, the seller offers a 20% discount.
2. Calculating the Discounted Price:
- Normally, 4 kilos would cost \(4 \times 5 = 20 \) dollars.
- With a 20% discount, the price for 4 kilos becomes \( 20 \times (1 - 0.20) = 20 \times 0.80 = 16 \) dollars.
3. Total Kilos Purchased:
- Josephine bought 12 kilos of rice.
4. Determining the number of Discounted Sets:
- Divide the total kilos purchased by the threshold for the discount:
\[
\text{Number of discounted sets} = \frac{12}{4} = 3
\]
- So she gets 3 sets of 4 kilos at the discounted price.
5. Calculating the Cost for the Discounted Sets:
- Each set of 4 kilos costs $[/tex]16 after discount.
- For 3 sets, the cost would be:
[tex]\[
3 \times 16 = 48 \text{ dollars}
\][/tex]
6. Calculating Remaining Kilos:
- Since 12 kilos exactly breaks down into 3 sets of 4 kilos each, there are no remaining kilos outside of the discounted sets.
7. Summing Up the Total Cost:
- The cost of the discounted sets is $48.
- There are no additional kilos to consider.
Therefore, the total amount Josephine paid for 12 kilos of Persian rice is [tex]\(48\)[/tex] dollars.
