In a shop, the cost of 4 shirts, 4 pairs of trousers and 2 hats is Tk. 560. The cost of 9 shirts, 9 pairs of trousers and 6 hats is Tk. 1,290. What is the total cost of 1 shirt, 1 pair of trousers and 1 hat?
Let, x be the price of one shirt,
y be the price of one pair of trousers and z be the price of one hat.
According to the question,
4x + 4y + 2z = 560……….(i)
9x + 9y + 6z = 1, 290………(ii)
3x + 3y + 2z = 430……………….(ii) [Divide all terms of equation (ii) by 3]
Now, we have [(i)-(iii))]