Cucumber Plant Count in Garden

In a community garden, there are three different types of plants: tomatoes, peppers, and cucumbers. The number of tomato plants is represented by t, the number of pepper plants by p, and the number of cucumber plants by c. The relationships between the numbers of plants are described as follows:

• The number of tomato plants is 5 more than twice the number of pepper plants.
• The number of cucumber plants is 3 less than the number of tomato plants.
• The total number of plants in the garden is 47.

Based on the above information, how many cucumber plants are in the garden?