Sure, here's a detailed step-by-step solution to the problem:
1. Understand the Given Information:
- The price for 3 kg of coffee is RM 36.
- We need to find the price for 9 kg of coffee.
2. Set Up the Proportion:
- We know that RM 36 corresponds to 3 kg of coffee.
- Let [tex]\( x \)[/tex] be the price for 9 kg of coffee.
3. Calculate the Price per kg:
- To find the price per 1 kg of coffee, divide the total price by the weight given:
[tex]\[
\text{Price per 1 kg of coffee} = \frac{\text{RM 36}}{3 \text{ kg}} = \text{RM 12 per kg}
\][/tex]
4. Calculate the Total Price for 9 kg:
- Since 1 kg of coffee costs RM 12, we can calculate the cost of 9 kg of coffee by multiplying the price per kg by 9:
[tex]\[
\text{Total price for 9 kg of coffee} = 12 \, \text{RM/kg} \times 9 \, \text{kg} = \text{RM 108}
\][/tex]
Hence, the price for 9 kg of coffee is RM 108.
