Question

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.

Answer 1

The correct answer is:

• Breakfast: 679 calories

• Lunch: 551 calories

• Dinner: 702 calories

Step-by-step 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