the total number of calories in 2 hot dogs and 3 cups of cottage cheese is 960 calories. The total number of calories in five hotdogs and 2

Question

the total number of calories in 2 hot dogs and 3 cups of cottage cheese is 960 calories. The total number of calories in five hotdogs and 2 cups of cottage cheese is 1190 cal how many calories are in a hotdog how many calories are in a cup of cottage cheese

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Hadley 3 weeks 2021-09-28T05:09:06+00:00 2 Answers 0

Answers ( )

    0
    2021-09-28T05:10:23+00:00

    Answer: One hotdog contains 150 calories, and one cottage cheese contains 220 calories.

    Step-by-step explanation: The unknowns which are hotdogs and cottage cheese shall be represented as hotdogs as ‘d’ and cottage cheese as ‘c.’

    So if 2 hotdogs and 3 cottage cheese contains 960 calories, this can be expressed as 2d + 3c = 960. Also if 5 hotdogs and 2 cottage cheese contains 1190 calories, this can as well be written as 5d + 2c = 1190.

    We now have a pair of simultaneous equations which are

    2d + 3c = 960 ———(1)

    5d + 2c = ———(2)

    We shall use the elimination method to solve this. Multiply equation (1) by 2 and multiply equation (2) by 3

    Then we now have;

    4d + 6c = 1920 ———(3)

    15d + 6c = 3570 ———(4)

    Subtract equation (3) from equation (4)

    11d = 1650

    Divide both sides of the equation by 11

    d = 150

    Substitute for the value of d into equation (1)

    2d + 3c = 960

    2(150) + 3c = 960

    300 + 3c = 960

    Subtract 300 from both sides of the equation

    3c = 660

    Divide both sides of the equation by 3

    c = 220.

    Therefore, one hotdog (d) contains 150 calories and one cottage cheese (c) contains 220 calories.

    0
    2021-09-28T05:10:25+00:00

    Answer:

    hot dog is 240  cottage cheese is 160

    Step-by-step explanation:

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