Herschel uses an app on his smartphone to keep track of his daily calories from meals. one day his calories from breakfast were 128 more than his calories from lunch, and his calories from dinner were 400 less than twice his calories from lunch. if his total caloric intake from meals was 1932, determine his calories for each meal.

The correct answer is:

•Breakfast: 679 calories

•Lunch: 551 calories

•Dinner: 702 calories

Explanation:

For the example we have to consider the calories from breakfast, lunch, and dinner as follows:

•Breakfast: x + 128  

•Lunch: x

•Dinner: 2x – 400

According the problem, the total of calories consumed that day was 1932. Thus:

Breakfast + Lunch + Dinner = 1932

(x + 128) + x + (2x – 400) = 1932

4x – 272 = 1932

4x = 2204

x = 551

Then,

•Breakfast: x + 128 = 679 calories

•Lunch: x = 551 calories

•Dinner: 2x – 400 = 702 calories

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