At a flower shop , there was a total of 494 sunflowers and roses. After 2/5 of sunflowers and 57 roses were sold , the ratio of number of sunflowers to number of roses were 2:3. How many roses were there at first?

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  1. s + r = 494 ---> s = 494-r

    (3/5)r/(s-57) = 2/3
    9r/5 = 2s - 114

    use substitution
    9r/5 = 988 - 2r - 114
    9r/5 = 874 - 2r
    times 5
    9r = 437 - 10r
    r = 230
    s = 264

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