Leanna consumes 400 calories at breakfast and 350 calories at lunch. She consumes 2/3 of her daily calories at dinner. if x represents the calories consumed at dinner, which statement describe the situation? Check all that apply

Leanna consumed 1,500 calories at dinner.

Step-by-step explanation:

We know that Leanna eats 2/3 of her daily calories at dinner, and we know that she eats 400 calories at breakfast and 350 calories at lunch. Assuming that these are the only times she is eating, then we can assume that the combination of her breakfast and lunch calorie consumption must equal 1/3 of her daily calories.

Let's let x represent the calories that Leanna consumes. Because she eats 2/3 at dinner, then her caloric consumption at dinner must be twice that from breakfast and lunch combined.

x = 2 (400 + 350)

x = 2 (750)

x = 1,500 calories

check:

Combining all calories gives us Leanna's total daily caloric consumption

750 + 1,500 = 2,250 calories in total

750 / 2,250 reduces to 1/3

1,500 / 2,250 reduces to 2/3