Let's call the number of reptiles
and the number of birds
. Given this, we can say the following:
![(1)/(3) (r + b) = r](https://img.qammunity.org/2019/formulas/mathematics/college/m1jg612g09z8huekj4kqyh0givvcv2zb9f.png)
Additionally, the problem said that
. We can substitute this value in for
and solve the equation.
![(1)/(3) (14 + b) = 14](https://img.qammunity.org/2019/formulas/mathematics/college/4yijl9m93brki84see3zrb285ix7ejp5gd.png)
- Set up
- This is also the equation the problem is asking for in the directions
![14 + b =42](https://img.qammunity.org/2019/formulas/mathematics/college/sqwkhl8fjw9z0nuvk9ar7k3jhn3zb5voar.png)
- Multiply both sides of the equation by 3
![b = 28](https://img.qammunity.org/2019/formulas/mathematics/college/dzdkeb4jyqjh2no8cnb8c74l0gjlepemhs.png)
- Subtract 14 from both sides
We find that the number of birds is 28.