franklin sold water bottles in two sizes, large ($2.50 each ) and regular ($1 each). He sold 113 bottles altogether and collecte
d $221 dollars. How many bottles of each type did he sell?
       
      
                
     
    
    
    
    
    1 answer:
            
              
              
                
                
Let's make a system of equations.
1 large bottle = l
1 regular bottle = r
l + r = 113
221 = 2.5l + r
Isolate r in the first equation and substitute it into the second equation:
l + r = 113
r = 113 - l
---
221 = 2.5l + 113 - l
221 = 1.5l + 113
108 = 1.5l
72 = l
Now, substitute that back into the first equation:
l + r = 113
72 + r = 113
r = 41
Finally, check your work by substituting back into both equations:
72 + 41 = 113    -->    113 = 113    <-- True
221 = 2.5(72) + 41    -->    221 = 180 + 41    <--True
Answer:
Franklin sold 72 large bottle of water and 41 regular-sized bottles of water.
                                
             
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