Answer:
B, C
Explanation:
So basically what this question is asking is "how much food is she giving to both the animals combined per day?"
It says she feeds them both a certain amount of grams a day, but doesn't tell us how many grams, so we'll use the variables k and d.
k will represent the amount of food that Ariane feeds her kitten,
and d will represent the amount of food she gives to the dog.
Keep in mind that it never attaches any numbers to these variables so our answer will still contain k and d.
Okay, now we'll break down the timing:
So she feeds her kitten 2 times every morning and 2 times every evening, which gives us a total of 4 times per day.
She also feeds the dog 1 time in the morning and 1 time in the evening, giving us 2 a day.
So now we just need to combine these timings with the variables.
she feeds the kitten 4 times daily, so we will multiply the amount by k to get 4*k or 4k.
We'll do the same with the dog and get 2*d or 2d.
Now we have an equation:
4k + 2d
She gives the kitten food (k) 4 times a day and gives the dog food (d) 2 times a day.
Now, we can deconstruct the answer choices and see if they match up with our equation.
A- 4(k+2d):
This equation looks like ours, but has parentheses, which means we have to multiply that 4 by everything inside them.
After doing that, we get:
4*k + 4*2d, or
4k+8d.
Close, but we only have 2d, so this one is not equal
B- 2d+4k
This one is pretty straightforward.
Our equation is 4k+2d, which means that they are equal.
C- (2k+d)+(2k+d)
In this one, we can simply combine like terms to get 2k+2k+d+d or
4k+2d.
This one is equal to ours.
D- (k+d)2
Just like in A, we will multiply everything inside the parentheses by 2, getting
2k+2d.
We need 4k, so this one is not equal.