Let \( p \) be the number of petunias and \( b \) be the number of begonias.
We have the following system of equations based on the information provided:
- \( p + b = 19 \) (equation for the total number of plants)
- \( 11p + 15b = 225 \) (equation for the total cost)
We can solve this system to find \( p \) and \( b \).
From the first equation, we can express \( b \) in terms of \( p \):
\[ b = 19 - p \]
Now substitute \( b \) into the second equation:
\[ 11p + 15(19 - p) = 225 \]
Expanding this gives:
\[ 11p + 285 - 15p = 225 \]
Combine like terms:
\[ -4p + 285 = 225 \]
Now isolate \( p \):
\[ -4p = 225 - 285 \] \[ -4p = -60 \] \[ p = 15 \]
Now that we have \( p = 15 \), we can find \( b \):
\[ b = 19 - p = 19 - 15 = 4 \]
Thus, Jim bought 15 petunias and 4 begonias.
Looking at the provided statements:
- Jim bought 4 petunias. (False)
- Jim bought 15 begonias. (False)
- Jim bought 18 begonias. (False)
- Jim bought 15 petunias. (True)
The correct statement is: Jim bought 15 petunias.