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A collection of thirty-seven coins consists of nickels, dimes and quarters. There are ten more dimes than nickels. Represent the value of all the coins using one variable.

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  1. number of nickels ---- x
    number of dimes ----- x+10
    number of quarters = 37-(x + x+10) = 27 - 2x

    value of coins = 5x + 10(x+10) + 25(27-2x)
    = 5x + 10x + 100 + 675 - 50x
    = 775 - 35 x

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