Respuesta :
Answer:
True
Step-by-step explanation:
In this question, we are expected to evaluate the validity of a particular proposition.
To evaluate this validity, what we do is that we check if the calculations as projected on the question are correct.
Let’s proceed!
Number of dogs to cat ratio = 4:5
Number of animals is 270;
Number of dogs will be 4/9 * 270 = 120
Number of cats will be 5/9 * 270 = 150
Now let’s check if the number of dogs is 4/5 that of cats.
Obviously 4/5 * 150 = 120
This makes true, the statement
Answer:
The statement is true
Step-by-step explanation:
Total number of animals on the rescue farm = 270 animals
The given ratio of dogs in the farm is 4
The given ratio of cats in the farm is 5
To find the number of dogs on the farm,
= 4 / (4+5) × 270
= 4 /9 × 270
= 120
Therefore the number of dogs on the farm = 120.
To find the number of cats on the farm,
= 5/ (4+5) × 270
= 5/9 × 270
= 150
Therefore the number of cats on the farm = 150
The number of dogs is 4/5 the number of cats.
Let's confirm the statement above.
Number of cats as calculated above = 150
Therefore,
The number of dogs = 4/5 × number of cats
The number of dogs = 4/5 × 150
The number of dogs = 120
Therefore, the statement :
"The number of dogs is 4/5 the number of cats" is a true statement.
