121k views
5 votes
Leena consumes 400 calories at breakfast and 350 calories at lunch. She consumes StartFraction 2 Over 3 EndFraction. of her daily calories at dinner. If x represents the calories consumed at dinner, which statements describe the situation? Check all that apply.

2 Answers

6 votes

Final answer:

Leena consumes 400 calories at breakfast and 350 calories at lunch, but there is no solution for the number of calories consumed at dinner.

Step-by-step explanation:

Leena consumes 400 calories at breakfast and 350 calories at lunch. Let x represent the calories consumed at dinner. Since Leena consumes 2/3 of her daily calories at dinner, we can set up the equation:

400 + 350 + x = 2/3 * (400 + 350 + x)

Simplifying the equation:

750 + x = 2/3 * (750 + x)

Multiplying both sides by 3:

2250 + 3x = 1500 + 2x

Subtracting 2x from both sides:

2250 + x = 1500

Subtracting 2250 from both sides:

x = -750

Since it doesn't make sense for the number of calories to be negative, we can conclude that there is no solution to this equation. Therefore, none of the statements describe the situation.

User Ti Hausmann
by
5.5k points
6 votes

Answer:

A and B

Step-by-step explanation:

User Totas
by
5.1k points