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

1. 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.