Question

.At a certain animal shelter, the ratio of puppies to adult dogs is 7 to 4. This week there are a total of55 dogs in the shelter. How many puppies are in the shelter this week? How many adult dogs are in the shelter this week

Answer 1

Answer:

There are 35 adult dogs and 20 puppies

Step-by-step explanation:

Represent the puppies with P and the Adult dogs with A

Given

$A : P = 7 : 4$

Dogs = 55

Required

Determine A and P

First, we need to sum the ratios;

$Total = A + P$

$Total = 7 + 4$

$Total = 11$

Adult Dogs is then calculated as follows;

$A = \frac{A\ Ratio}{Total} * Dogs$

$A = \frac{7}{11} * 55$

$A = \frac{385}{11}$

$A = 35$

Puppies is calculated by subtracting the number of adult dogs from the total

$P = Dogs - Adult\ Dogs$

$P = 55 - 35$

$P = 20$

Hence;

There are 35 adult dogs and 20 puppies