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15 February, 12:30

Ramon sells two enchiladas and three tacos for $/$$2.50 and he sells three enchiladas and two tacos for $/$$2.70. Assuming a fixed price per item, what is the cost, in dollars, of three enchiladas and four tacos

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  1. 15 February, 12:45
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    3.54 dollars

    Explanation:

    2.50 = 250 cents

    2.70 = 270 cents

    2e + 3t = 250

    e = (250 - 3t) / 2

    3 ((250 - 3t) / 2) + 2t = 270

    (750 - 9t) / 2 + 2t = 270

    750 - 9t + 4t = 540

    750 - 5t = 540

    210 = 5t

    t = 42

    e = (250 - 3t) / 2

    e = (250 - 126) / 2

    e = 124 / 2

    e = 62

    3e + 4t = 3 (62) + 4 (42) = 354 cents or 3.54 dollars
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