Filbert the cat eats twice the amount of food as another cat, Kiko. If together they eat three-quarters of one cup of cat food at each meal, which of the following equations will give you the number of cups, \( x \), that Kiko eats at each meal? a.) \( 2 x=\frac{3}{4} \) b) \( 3 x=\frac{3}{4} \) c) \( \frac{3}{4} x=2 \) d) \( \frac{3}{4} x=3 \)

If Kiko eats \( x \) cups of food, then Filbert eats \( 2x \) cups. Together, they eat \( x + 2x = 3x \) cups. Since it's given that they eat three-quarters of a cup together, we can set up the equation \( 3x = \frac{3}{4} \) to find out how much Kiko eats. Therefore, the correct answer is option b) \( 3x = \frac{3}{4} \). To visualize this a bit more: Think of Kiko and Filbert as a delightful cat duo at dinner time! Kiko, the slightly more modest kitty, nibbles away at her portion while Filbert, the more enthusiastic eater, chomps down twice as much. It's a classic case of teamwork making the dinner dream work, as they share their mealtime delight under the watchful eye of their favorite human!