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24 March, 19:56

One taco supreme and two cheeseburgers provide 2220 calories. Two taco supremes and one cheeseburger provide 2130 calories.

How much calories does One supreme taco have?

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  1. 24 March, 20:07
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    according to the problem

    1T + 2B = 2670 and

    2T + 1B = 2580

    Using the first equation:

    T + 2B = 2670

    T = 2670 - 2B

    Now substitute this expression for T into the second equation:

    2T + B = 2580

    2 (2670 - 2B) + B = 2580

    Now, distribute the 2 and do some algebra:

    5340 - 4B + B = 2580

    5340 - 3B = 2580

    5340 = 3B + 2580

    2760 = 3B

    920 = B A burrito has 920 calories.

    Now, substitute this value for B into either equation to find T.

    1T + 2B = 2670

    T + 2 (920) = 2670

    T + 1840 = 2670

    T = 830 A taco has 830 calories.
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