Four six packs of soda and a bag of chips have a total of 6,072 calories. The bag of chips has eight servings. The number of calories in one can of soda is one hundred seven calories more than the number of calories in one serving of chips. How many calories are in the entire bag of chips.

  140.16 calories

Step-by-step explanation:

Let c represent the number of calories in a bag of chips. Then (c+107) is the number of calories in one can of soda. The total calorie count for 4 six-packs and one bag of chips will be ...

  4(6(c +107)) +c = 6072

  4(6c +642) +c = 6072 . . . . eliminate inner parentheses

  24c + 2568 +c = 6072 . . . . eliminate outer parentheses

  25c = 3504 . . . . . . . . . . . . . subtract 2568

  c = 140.16 . . . . . . . . . . . . . . divide by 25

The entire bag of chips has 140.16 calories.

Check

A can of soda has 140.16 +107 = 247.16 calories, so 24 of them have 5931.84 calories. Then the total with a bag of chips is ...

  5931.84 +140.16 = 6072 . . . calories

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step-by-step explanation:

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