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5 July, 01:49

Two smoothies and an ice cream cone cost $7.50. Three smoothies and two ice cream cones cost $12. Calculate the cost of a smoothie and the cost of an ice cream cone.

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  1. 5 July, 02:16
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    Smoothie = 3

    Ice cream = 1.5

    Step-by-step explanation:

    2s + i = 7.5

    3s + 2i = 12

    subtract the equations

    (3s + 2i) - (2s + i) = s + i

    s + i = 4.5

    2s + i = 7.5, so s must equal 3 (7.5 - 4.5)

    If s = 3, then i is 1.5 (4.5 - 3.5)

    To check, plug 3 and 1.5 into s and i.

    2 (3) + 1.5 = 7.5

    6 + 1.5 = 7.5

    7.5 = 7.5

    3 (3) + 2 (1.5) = 12

    9 + 3 = 12

    12 = 12
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