Write a system of equations to describe the situation below, solve using any method, and fill in the

Discussion in 'Calculator Requests' started by math_celebrity, Feb 3, 2017.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Hugo is going to send some flowers to his wife. Somerville Florist charges $2 per rose, plus $39 for the vase. Dwaynes Flowers, in contrast, charges $3 per rose and $10 for the vase. If Hugo orders the bouquet with a certain number of roses, the cost will be the same with either flower shop. What would the total cost be? How many roses would there be?

    Let r be the number of roses and C(r) be the cost function. The vase is a one-time cost.

    Somerville Florist:
    C(r) = 2r + 39

    Dwaynes Flowers
    C(r) = 3r + 10

    Set them equal to each other:
    2r + 39 = 3r + 10

    Using our equation calculator, we get:
    r = 29


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