116k views
4 votes
3) A puppy store has 30 dogs in total, some are largebreed and some are miniature breed. The ratio of largeto miniature dogs in the store is 2:3. How many largebreed puppies are there?

1 Answer

3 votes

Let:

x = number of large breed dogs

y = number of miniature breed dogs

The puppy store has 30 dogs in total, so:


x+y=30

The ratio of large to miniature dogs in the store is 2:3. so:


2\colon3=(2)/(3)=(x)/(y)

Let:


\begin{gathered} (x)/(y)=(2)/(3)_{\text{ }}(1)_{} \\ x+y=30_{\text{ }}(2) \end{gathered}

From (1):


x=(2)/(3)y_{\text{ }}(3)

Replace (3) into (2):


\begin{gathered} (2)/(3)y+y=30 \\ (5)/(3)y=30 \\ y=18 \end{gathered}

Replace the value of y into (3):


\begin{gathered} x=(2)/(3)(18) \\ x=12 \end{gathered}

Answer:

There are 18 large breed puppies and there are 12 miniature breed puppies

User RMonteiro
by
8.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories