Answer:
To calculate the initial price of each carton of biscuits and the subsequent changes in price, we can use the given information. Let's break down the problem step by step.
1. Initial purchase:
Peter decided to buy six (6) cartons of biscuits for K150. To find the initial price per carton, we divide the total cost by the number of cartons:
Initial price per carton = K150 / 6 = K25.00
2. Price increase:
The price increased by X50.00. Let's denote the new price per carton as P1.
P1 = Initial price per carton + X50.00
P1 = K25.00 + X50.00
P1 = K75.00
3. Price decrease:
The price then decreased by K50.00 from the initial price. Let's denote the new price per carton as P2.
P2 = P1 - K50.00
P2 = K75.00 - K50.00
P2 = K25.00
4. Quantity adjustment:
When the price falls to P2, Peter is able to buy three (3) more cartons than his initial purchase of six (6) cartons. This means he can buy a total of nine (9) cartons when the price falls.
5. Further adjustment:
When the price rises from the initial quantity demanded, Peter decides to leave three (3) cartons behind.
In summary, Peter initially bought six (6) cartons of biscuits for K150, which means each carton cost K25.00. The price then increased by X50.00 to K75.00 per carton and subsequently decreased by K50.00 back to K25.00 per carton.
When the price fell to K25.00, Peter was able to buy three (3) more cartons, bringing the total to nine (9) cartons. However, when the price rose again, Peter decided to leave three (3) cartons behind.
Answer: Peter initially bought six (6) cartons of biscuits for K150. The price per carton increased by X50.00 to K75.00 and then decreased by K50.00 back to K25.00. When the price fell to K25.00, Peter was able to buy three (3) more cartons, resulting in a total of nine (9) cartons. However, when the price rose again, Peter left three (3) cartons behind.
Step-by-step explanation:
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