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Puan Kartini bought (5x - 4) kg of red chillies with the price of RM3x per kg. The total payment she paid is RM192. Calculate the mass, in kg, of the red chillies she bought.​

Sagot :

mathstudent55

Answer:

16 kg

Step-by-step explanation:

Mass = (5x - 4) kg

Unit Price = 3x/kg

Total Price = mass * unit price

Total Price = (5x - 4)kg * 3x/kg

Total Price = 15x^2 - 12x

Total Price = 192

15x^2 - 12x = 192

15x^2 - 12x - 192 = 0

5x^2 - 4x - 64 = 0

ax^2 + bx +c = 0

ac = 5(-64) = -320

ac = -20 * 16

-20 + 16 = -4

5x^2 - 20x + 16x - 64 = 0

5x(x - 4) + 16(x - 4) = 0

(x - 4)(5x + 16) = 0

x - 4 = 0   or   5x + 16 = 0

x = 4   or   5x = -16

x = 4   or   x = -3.2

x cannot be negative because it would give a negative unit price, so we discard the negative answer.

x = 4

mass = 5x - 4 = 5(4) - 4 = 20  4 = 16

Answer: 16 kg

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