There are 35 kittens and each kitten receives 4/7 cup of kibble in the evening. How many cups of food are used in one feeding?

What the problem is asking

Each of the 35 kittens gets the same amount of kibble, $\frac{4}{7}$ cup. Total food for one feeding is the number of kittens times the food per kitten.

Write a multiplication equation

Let $x$ be the total number of cups of kibble used.

$$35 \times \frac{4}{7} = x$$

Multiply and simplify

Reduce before multiplying:

$$35 \times \frac{4}{7} = \frac{35}{7} \times 4 = 5 \times 4 = 20$$

So,

$$x = 20 \text{ cups}$$

Quick reasonableness check

Each kitten gets a little more than $\frac{1}{2}$ cup, so 35 kittens should use a bit more than $35 \times 0.5 = 17.5$ cups. Getting 20 cups makes sense.