We can write their relationships as the equations below:  $A+B+P+P=12$  $A+P=5$  $B+P+P=A+P+5$  So, $B+P+P=5+5=10$, $A=12-10=2$, $P=5-2=3$, $B=12-2-3-3=4$. 
One apple, one banana and two peaches together weigh $12$ lbs. One apple and one peach together weigh $5$ lbs. One banana and $2$ peaches together weigh $5$ lbs more than one apple and one peach weigh together. Each peach weighs the same. How many pounds does one banana weigh? 
Options:
A) $3$ lbs 
B) $4$ lbs 
C) $5$ lbs 
D) $6$ lbs 