Question

8. Iniya bought 50 kg of fruits consisting of apples and bananas. She paid twice as
much per kg for the apple as she did for the banana. If Iniya bought 1800 worth of
apples and 7 600 worth bananas, then how many kgs of each fruit did she buy?​

Answer 1

Answer: Apple: 5.5 kg

Banana: 44.5 kg

Step-by-step explanation: To hard to explain.

Answer 2

• 30 kg apples
• 20 kg bananas

Step-by-step explanation:

Let,

• The weight of apples be 'x' kg and
• The weight of bananas be 'y' kg

Given,

• x + y = 50 kg ------- (1)
• 1 apple = twice that of banana
• ₹1800 worth apples
• ₹600 worth bananas

Solving,

⟼ 2x : y = 1800 : 600

⟼ 600 (2x) = y (1800)

⟼ 1200x - 1800y = 0

⟼ 2x - 3y = 0 -------- (2)

Subtracting (1) & (2),

To make 'x' value same in both we have to multiply (1) by 2.

• (x + y = 50) = (2x + 2y = 100)

2x + 2y = 100

2x - 3y = 0

__________

5y = -100

__________

y = 100 / 5

y = 20

Substituting 'y' in (1),

⟼ x + y = 50

⟼ x + 20 = 50

⟼ x = 50 - 20

⟼ x = 30

Hence, Iniya bought,

• 30 kg apples
• 20 kg bananas