Answer:
The value of b is 19.
Step-by-step explanation:
With what the problem states, we have that:
[tex]\frac{4b + 19}{6b + 11} = 0.76[/tex]
Doing cross multiplication
[tex]4b + 19 = 0.76(6b + 11)[/tex]
[tex]4b + 19 = 4.56b + 8.36[/tex]
[tex]4.56b - 4n = 19 - 8.36[/tex]
[tex]0.56b = 10.64[/tex]
[tex]b = \frac{10.64}{0.56}[/tex]
[tex]b = 19[/tex]
The value of b is 19.
