Given:
The ratio of the number of text messages sent by Tiffany to the number of text messages sent by her brother is 3 to 4.
Tiffany sent 12 text messages.
Let the number of messages of her brother = x
So,
![\begin{gathered} 3\colon4=12\colon x \\ \\ (3)/(4)=(12)/(x) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/1m1lfcjorc8p3ktht6gi57mparn9dyzd1z.png)
solve for x:
So, x = ( 4 * 12 )/3 = 16
So, the answer will be the number of messages of her brother = 16