Question

5. There are twice as many dogs as there are cats in your neighborhood. There are 24 dogs. How many catsare there?Write an equation to represent this situation. Use the variable c to represent the number of cats,Solve the equation to find the number of cats.Show your work here:AnswerThere are 12 cats,

Answer 1

We define the variables:

• c = # of cats,

,

• d = # of dogs.

From the statement, we know that:

0. there are twice as many dogs as there are cats,

,

1. there are d = 24 dogs.

From point 1, we have the equation:

`d=2\cdot c\text{.}`

Replacing the # of dogs d = 24, we have:

`24=2\cdot c\text{.}`

We solve for c by dividing both sides by 2, we get:

`c=(24)/(2)=12.`

Answer

• Equation: ,24 = 2c

,

• Solution:, c = 12