A South American tribe uses a unit of mass called the defas. 1 defas = 7 dodas. Using this and
the below conversion factors, determine how many kilograms are in 120 defas.
1 uma = 16 dodas, 1 boopa = 14 uma and 1 kg = 0.157 boopa.
Select the closest answer:
3.4 kg
4681.5 kg
0.6 kg
23.9 kg
19.7 kg
To determine how many kilograms are in 120 defas, we need to convert the defas to kilograms using the given conversion factors.
We know that:
1 defas = 7 dodas (Given)
1 uma = 16 dodas (Given)
1 boopa = 14 uma (Given)
1 kg = 0.157 boopa (Given)
Let's break the problem down step by step:
Step 1: Convert defas to dodas
Since 1 defas = 7 dodas, we can calculate the number of dodas in 120 defas by multiplying 120 by 7:
Number of dodas = 120 defas * 7 dodas/defas = 840 dodas
Step 2: Convert dodas to uma
Since 1 uma = 16 dodas, we can calculate the number of uma in 840 dodas by dividing 840 by 16:
Number of uma = 840 dodas / 16 dodas/uma = 52.5 uma
Step 3: Convert uma to boopa
Since 1 boopa = 14 uma, we can calculate the number of boopa in 52.5 uma by dividing 52.5 by 14:
Number of boopa = 52.5 uma / 14 uma/boopa = 3.75 boopa
Step 4: Convert boopa to kilograms
Since 1 kg = 0.157 boopa, we can calculate the number of kilograms in 3.75 boopa by multiplying 3.75 by 0.157:
Number of kilograms = 3.75 boopa * 0.157 kg/boopa = 0.589 kg
Therefore, 120 defas is approximately equivalent to 0.589 kg.
Select the closest answer:
3.4 kg
4681.5 kg
0.6 kg
23.9 kg
19.7 kg
The closest answer is 0.6 kg.