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5 August, 10:34

In a shop, the cost of 4 shirts, 4 pairs of trousers and 2 hats is $560. The cost of 9 shirts, 9 pairs of trousers and 6 hats is $1290. What is the total cost of 1 shirt, 1 pair of trousers and 1 hat?

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  1. 5 August, 13:46
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    Let x = shirts, y = trousers, z = hats

    Forming Equation 1

    4x+4y+2z = 560

    Simplifying it to,

    2x + 2y + z = 280

    Forming Equation 2

    9x + 9y + 6z = 1290

    Simpifying it to,

    3x + 3y + 2z = 430

    (1) 2x + 2y + z = 280

    (2) 3x + 3y + 2z = 430

    Doing (2) - (1)

    3x + 3y + 2z = 430

    2x + 2y + z = 280

    Answer is

    x + y + z = 150
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