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

Explanation:

A or B

Answer 2

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

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
`(2)/(3)` of her daily calories at dinner,

So, it becomes,

`(1)/(3)* Total=400+350\\\\(Total)/(3)=750\\\\Total=750* 3=2250`

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

`(2)/(3)* total =x\\\\\implies x=(2)/(3)* 2250=1500`

And by option 'B' we get,

`(2)/(3)(x + 400 + 350) = x \\\\x+750=(3)/(2)* x=(3x)/(2)\\\\750=x-(3x)/(2)\\\\750=(3x-2x)/(2)\\\\750=(x)/(2)\\\\750* 2=x\\\\1500=x`

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