Final answer:
To find the price of 1 kg of mangosteen, we need to solve the equation x(3x + 2) = 60 - x. After finding the value of x, we substitute it back into the price formula for 1 kg of mangosteen.
Step-by-step explanation:
To calculate the price, in RM, for 1 kg of mangosteen, we set up an equation based on the given information. Sufri pays for x kg of mangosteens with 6 x RM10 notes and receives RMx back as change. The total amount spent, therefore, is RM(60 - x).
Using the formula for the total cost, we multiply the quantity purchased by the price per unit: x kg × RM(3x + 2). This product equals the total amount spent: RM(60 - x).
By setting up the equation x(3x + 2) = 60 - x and solving for x, we find the value of x. Once we have the value of x, we substitute it back into the price per kg to find the exact price for 1 kg of mangosteen.