In 1999 there were 200,000 registered dogs that were Labrador retrievers and dachshunds. There were 3 times as many Labrador retrievers as dachshunds. Find the number of Labrador retrievers and dachshunds
number of dach's --- x
number of labs ----- 3x
solve for x ....
x + 3x = 200000
To find the number of Labrador retrievers and dachshunds in 1999, let's first set up an equation based on the information given.
Let's say the number of dachshunds is x. Since there were 3 times as many Labrador retrievers as dachshunds, the number of Labrador retrievers would be 3x.
The total number of registered dogs is given as 200,000, so we can write the equation:
x + 3x = 200,000
Combining like terms, we get:
4x = 200,000
To solve for x, divide both sides of the equation by 4:
x = 200,000 / 4
Calculating the division, we find:
x = 50,000
So, there were 50,000 dachshunds in 1999.
To find the number of Labrador retrievers, we can substitute this value back into the equation:
3x = 3 * 50,000
Multiplying, we find:
3x = 150,000
Therefore, there were 150,000 Labrador retrievers in 1999.