Question

On planet Ghaap, two Gheeps are worth three Ghiips, two Ghiips are worth five Ghoops, and three Ghoops are worth two Ghuups. How many Ghuups are seven Gheeps worth?

Answer 1

To find out how many Ghuups seven Gheeps are worth on planet Ghaap, we need to combine the given ratios and solve for the unknown value. The answer is 17.5 Ghuups.

Step-by-step explanation:

Let's solve this problem step by step:

1. Since two Gheeps are worth three Ghiips, we can write the ratio as 2:3. This means that for every 2 Gheeps, we have 3 Ghiips.
2. Next, we know that two Ghiips are worth five Ghoops, so the ratio here is 2:5. For every 2 Ghiips, we have 5 Ghoops.
3. Finally, three Ghoops are worth two Ghuups, so the ratio here is 3:2. For every 3 Ghoops, we have 2 Ghuups.

Now, we need to find out how many Ghuups are seven Gheeps worth. We can do this by combining the ratios:

2 Gheeps : 3 Ghiips

2 Ghiips : 5 Ghoops

3 Ghoops : 2 Ghuups

We multiply these ratios together:

2 Gheeps * 2 Ghiips * 3 Ghoops : 3 Ghiips * 5 Ghoops * 2 Ghuups

Simplifying, we get:

12 Gheeps : 30 Ghuups

Therefore, seven Gheeps are worth 17.5 Ghuups.