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10 February, 01:59

Sue spent half of her money on a book.

Then she spent $1.25 on a pen.

She has $3.20 left.

How much did she start with?

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Answers (1)
  1. 10 February, 02:12
    0
    She started with 8.90

    Step-by-step explanation:

    Let m = money

    She spent 1/2 on a book

    m - 1/2 m

    This is what she has left after buying her book

    Now she buys a pen at 1.25

    m-1/2m - 1.25

    This is how much she has left after buying the pen

    The problem states that she has 3.20 left

    3.20 = m-1/2m - 1.25

    Combine like terms

    3.20 = 1/2 m - 1.25

    Add 1.25 to each side

    3.2+1.25 = 1/2m - 1.25 + 1.25

    4.45 = 1/2m

    Multiply by 2

    2*4.45 = 1/2m*2

    8.90 = m

    She started with 8.90
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