wyattertel7600 wyattertel7600
  • 19-09-2018
  • Mathematics
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Carlos gas tank is 1/10 full. After he buys 11 gallons of gas, it is 3/5 full. How many gallons can carlos tank hold?

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tramserran
tramserran tramserran
  • 19-09-2018

Current amount of gas: [tex]\frac{1}{10} t[/tex]                    

After adding 11 gallons: [tex]\frac{1}{10} t[/tex]   + 11  = [tex]\frac{3}{5} t[/tex]  

11 = [tex]\frac{3}{5} t[/tex]   - [tex]\frac{1}{10} t[/tex]

11 = [tex]\frac{6}{10} t[/tex]   - [tex]\frac{1}{10} t[/tex]

11 = [tex]\frac{5}{10} t[/tex]

11 = [tex]\frac{1}{2} t[/tex]

22 = t

Answer:  22 gallons


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