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4 kg of bananas and 3 kg of apples cost £7.50. 3kg of bananas and 5 kg of apples cost £8.10. work out how much 2kg of bananas and 2kg of apples cost​

Respuesta :

Answer:

£4.20

Step-by-step explanation:

Let :

  • cost of 1 kg banana = x
  • cost of 1 kg apple = y

Equations formed :

  • 4x + 3y = 7.50 [Equation 1]
  • 3x + 5y = 8.10 [Equation 2]

Multiply Equation 1 by 5 and Equation 2 by 3 :

  • 20x + 15y = 37.50
  • 9x + 15y = 24.30

Subtract the newly formed equations :

  • 11x = 13.20
  • x = 1.20

Finding y :

  • 4(1.20) + 3y = 7.50
  • 4.80 + 3y = 7.50
  • 3y = 2.70
  • y = 0.90

Then :

  • Cost of 1 kg banana = £1.20
  • Cost of 1 kg apple = £0.90

Cost of 2 kg bananas and 2 kg of apples :

  • 2(1.20) + 2(0.90)
  • 2(2.10)
  • £4.20

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