Counting Roses in a Garden

There are two types of plants in a garden: roses and tulips. The number of roses is three times the number of tulips. If the total number of plants in the garden is 48, how many rose plants are there?

Let the number of tulips be represented by the variable $t$. Thus, the number of roses can be represented as $3t$. Together, the equation for the total number of plants can be expressed as:

$$t + 3t = 48$$

Using this equation, determine the number of each type of plant.