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8 November, 09:38

5 t-shirts and a hat costs £27.00

2 t-shirts and a hat costs £12.00.

How much does a t-shirt cost?

How much does a hat cost?

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Answers (1)
  1. 8 November, 12:20
    0
    Let say that t-shirt is X and hat is Y

    We get: 5X+Y=27.00

    2X+Y=12.00

    solve for X in the first equation

    5X+Y = 27

    5X=27-Y

    X=27-Y/5

    Replace X = 27-Y/5 in equation 1 or 2

    I use equation 2:

    2*27-Y/5+Y=12

    54-2Y/5+Y=12

    make the denominator equal

    54-2Y/5+5Y/5=12

    54+3Y/5=12

    Multiply 5 both side

    54+3Y = 60

    3Y = 60-54

    3Y = 6

    Y=6/3

    Y=2

    Replace Y = 2 in equation 1 or 2

    I use 2:

    2X+2=12

    2X=10

    X=5

    Thus the answer is T-shirt cost : £5 and hat cost : £2
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