If 2 kg of almonds cost as much as 8 kg of walnuts, and the cost of 5 kg of almonds and 16 kg of walnuts is Tk. 1080, what is the cost of almonds per kg?

Question: If 2 kg of almonds cost as much as 8 kg of walnuts, and the cost of 5 kg of almonds and 16 kg of walnuts is Tk. 1080, what is the cost of almonds per kg?

Solution:
Let the cost of almond per kg be Tk. x, and the cost of walnuts per kg be Tk. y.
Now, ATQ,
2x = 8y
or, x = 4y

Now,
5x + 16y = 1080
Or, 5x + 4x = 1080
Or, x = 120

Therefore, the cost price of almond per kg = Tk. 120