pheobe has 9 rocks. she puts the rocks into 3 boxes. Each box 1 more rock then the last. How many rocks are in each box
       
      
                
     
    
    
    
    
    1 answer:
            
              
              
                
                
Hello!
We can write this as the system of equations below. We have boxes A, B, and C.
A+B+C=9
B=A+1
C=B+1
First of all we can plug our B and C values into the first equation and solve for A.
A+A+1+A+1+1=9
3a+3=9
3a=6
a=2
Now we can plug our a value into the other equations.
B=2+1
B=3
C=3+1
C=4
Therefore, there are 2 rocks in one box, three in another, and 4 in the last.
I hope this helps!
                                
             
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