Question

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​

Answer 1

£4.20

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