Question

Leena consumes 400 calories at breakfast and 350 calories at lunch. She consumes of her daily calories at dinner. If x represents the calories consumed at dinner, which statements describe the situation? Check all that apply.
a. Leena consumed 1,500 calories at dinner.
b. The equation 2/3(x + 400 + 350) = x can be used to model the situation.
c. Leena consumed 500 calories at dinner.
d. The equation 2/3(x) = x(400 + 300) can be used to model the situation.
e. Leena consumed 1,000 calories at dinner.
f. The equation 2/3x(400 + 300) = x can be used to model the situation.

Answer 1

Answer: Only Option 'A' and 'B' are correct.

Step-by-step explanation:

Since we have given that

Number of calories she consumed at breakfast = 400

Number of calories she consumed at lunch = 350

Let number of calories she consumed at dinner be x

According to question,

She consumes $\frac{2}{3}$ of her daily calories at dinner,

So, it becomes,

$\frac{1}{3}\times Total=400+350\\\\\frac{Total}{3}=750\\\\Total=750\times 3=2250$

so, Number of calories she consumed at dinner is given by

$\frac{2}{3}\times total =x\\\\\implies x=\frac{2}{3}\times 2250=1500$

And by option 'B' we get,

$\frac{2}{3}(x + 400 + 350) = x \\\\x+750=\frac{3}{2}\times x=\frac{3x}{2}\\\\750=x-\frac{3x}{2}\\\\750=\frac{3x-2x}{2}\\\\750=\frac{x}{2}\\\\750\times 2=x\\\\1500=x$

so, only Option 'A' and 'B' are correct.

Answer 2

Answer:

Step-by-step explanation:

A or B