Sunday, 25 May 2014

Simple Math Problem

Problem Statement:

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 1290. what is the total cost of 1 shirt, 1 pair of trousers and 1 hat?

Answer: 

Statement1: 4 shirts, 4 pairs of trousers and 2 hats is TK 560.
                    let, 4s + 4p + 2h = 560.....(1)

statement2: 9s + 9p+6h = 1290 .....(2)

                  statement (1) divided by 2 and get
                   2s+2P+1h = 280....(3)                   statement (2) divided by 3 and get
                   3s+3p+2h = 430.....(4)
                   statement (4) divided by statement (3)
                   1s+1P+1h = 150.....(ANS)
                   

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