Algebra Problem!!!!........Please HELP!?!!?

one pan pizza and two beef burritos provide 1980 calories.

two pan pizzas and one beef burrito provide 2670 calories.

find the caloric content of each item.

..... if you can do this you're a life saver

please please please help :)

Comments

  • Let pan pizza be x calories

    beef buritto be y calories

    x + 2y = 1980

    2x + y = 2670

    Multiply equation 2 by 2

    4x + 2y = 5340

    x + 2y = 1980

    SUBTRACT

    3x = 5340 - 1980 = 3360

    x = 1120 calories

    y = 430 calories

    ANSWER Pan pizza 1120 calories Burritto 430 calories

  • lets say pizza is x, and beef burritos is y. You then set up two equations to solve, one for each sentence with information.

    x + 2y = 1980

    2x + y = 2670

    then set one of the equations equal to one variable and use the substitution method to solve.

    x = -2y + 1980

    2(-2y + 1980) + y = 2670

    -4y + 3960 + y = 2670

    -3y + 3960 = 2670

    -3y = -1290

    y = 430

    so each beef burrito has 430 calories, and you substitute that value into an original equation to find the pizza.

    x + 2(430) = 1980

    x + 860 = 1980

    x = 1120

    so each pan pizza has 1120 calories, and each beef burrito has 430 calories.

  • Let pan pizza provide 'p' calories and beef burrito provide 'b' calories

    therefore 1 p + 2 b = 1980

    and 2p + 1 b = 2670

    i.e 3p + 3b = 4650

    p+b= 1550

    p= 1550-b

    now 1550 -b +2b= 1980

    therefore b = 430

    and p = 1120

    The calorific value of pizza is 1120 cal while that of beef burritos is 430 calories

  • p=pan pizza

    b=beef burritos

    1p+2b=1980

    2p+1b=2670

    -2p-4b=-3960

    2p+1b=2670

    -3b=-1290

    one beef burrito provide 430 calories

    one pan pizza provide 1120 calories

  • No one used matrices to solve this, ah well

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