Question

Herschel uses an app on his smartphone to keep track of his daily calories from meals. One day his calories from breakfast were 115 more, than his calories from​ lunch, and his calories from dinner were 200 less than twice his calories from lunch. If his total caloric intake from meals was 2135, determine his calories for each meal.

Answer 1

calories

Breakfast: 670

Lunch: 555

Dinner: 910

Total = 2135 calories

Explanation:

Let B, L and D, stand for the calories from Breakfast, Lunch, and Dinner

One day his calories from breakfast were 115 more, than his calories from​ lunch:

B = L + 115

his calories from dinner were 200 less than twice his calories from lunch.:

D = 2L - 200

total caloric intake from meals was 2135:

B + L + D = 2135

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We have B and D defined in terms of L from the first two equations, so use them in the third:

B + L + D = 2135

[L+115] + L + [2L-200] = 2135

4L - 85 = 2135

4L = 2220

L = 555 calories

B = L + 115

B = 555 + 115

B = 670 calories

D = 2L - 200

D = 2(555) - 200

D = 910 calories

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CHECK

Does B + L + D = 2135 calories?

670 + 555 + 910 = 2135?

2135 = 2135? YES