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The problem is asking to calculate the price of one elective subject book and one core subject book, given two different scenarios.

### Given:
1. **Initial Plan:**
   - 3 elective subject books and 2 core subject books cost RM62.50.

2. **Revised Plan:**
   - 2 elective subject books and 3 core subject books cost RM56.50.

Let:
- The price of one elective subject book be \( E \).
- The price of one core subject book be \( C \).

### Formulating the equations:
From the two scenarios, we have the following system of equations:

1. \( 3E + 2C = 62.50 \)  (Equation 1)
2. \( 2E + 3C = 56.50 \)  (Equation 2)

Now we will solve this system of equations to find \( E \) and \( C \).

I'll calculate the solution.The price of one elective subject book \( E \) is **RM14.90**, and the price of one core subject book \( C \) is **RM8.90**.

Would you like further explanation or details on how the solution was derived?

Here are 5 related questions for further practice:
1. What would be the total cost if Rayani bought 4 elective and 3 core subject books?
2. If Rayani's budget increased to RM75, how many books could she buy if she sticks to the same ratio of elective to core subjects?
3. How much would 5 core subject books and 2 elective subject books cost?
4. If the price of each core subject book increased by RM2, how would that affect the total cost in both scenarios?
5. What would be the new price if Rayani bought only 1 elective subject book and 1 core subject book?

**Tip:** When solving systems of linear equations, substitution or elimination methods are commonly used.

Rayani intends to buy Model SPM Questions books for 3 elective subjects and 2 core subjects. The total price to be paid by Rayani is RM62.50. As Rayani did not have enough money, she changed her intention to buy books of 2 elective subjects and 3 core subjects for a total price of RM56.50. Calculate the price for one elective subject book and one core subject book respectively.

Learn how to solve the system of equations to determine the price of one elective subject book and one core subject book based on Rayani's budget. This problem involves algebraic methods such as substitution or elimination, suitable for students in Grades 9-12.

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