Question

On the planet Boondin, there are 2 hopts to every 3 vreels. If farmer Umpt has 20 vreels on her coraz farm, how many hopts are on the farm? No decimals. Use a fraction or mixed number if needed.

Answer 1

To find the number of hopts on the farm, a proportion based on the existing 2:3 ratio between hopts and vreels is used, resulting in 13 1/3 hopts when farmer Umpt has 20 vreels.

Step-by-step explanation:

On the planet Boondin, the ratio between hopts and vreels is given as 2 hopts for every 3 vreels. To find out how many hopts are on the farm if there are 20 vreels, we can set up a proportion based on the ratio given:

1. Let's call the number of hopts x.
2. We then set up the proportion 2 hopts / 3 vreels = x hopts / 20 vreels.
3. Cross-multiply to get 2 * 20 = 3 * x.
4. This simplifies to 40 = 3x.
5. To find x, divide both sides by 3, resulting in x = 40/3, which is 13 with a remainder of 1.
6. So there are 13 1/3 hopts on farmer Umpt's farm.