Frank and Alice are penguins. At birth, Frank’s beak was $1.95$ inches long, while Alice’s was $1.50$ inches long.  

1. Frank’s beak grows by $0.25$ inches per year and Alice’s grows by $0.40$ inches per year. Write an equation to represent the length of each penguin’s beak in $x$ years.

   Hint (a):

   Frank: $b=1.95+0.25y$ where $b=\text{beak length (inches)}$ and $y = \text{time (years)}$
   
   Use the same type of equation for Alice.

2. How old will they be when their beaks are the same length?

   Hint (b):

   What must be true about the two equations if their beaks are the same length?