Amanda11111111 Amanda11111111
  • 13-09-2015
  • Mathematics
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Donnel practiced the piano 3 hours longer than Marcus. Together they practiced the piano for 11 hours. How many hours did each boy practice??

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Geekhawk
Geekhawk Geekhawk
  • 13-09-2015
Here is the equation: [tex]x+(x+3)=11[/tex] ⇒[tex]x+x+3=11[/tex]


You need to get "x" by itself so minus 3 from each side

[tex]x+x+3-3=11-3[/tex] ⇒ [tex]x+x=8[/tex] ⇒ [tex]2x=8[/tex]

Divide 8 by 2

[tex]8[/tex] ÷ [tex]2=4[/tex]

x=4

So each 4 is equivalent to 4 

Lets check:

[tex]4+(4+3)=11[/tex] ⇒ [tex]4+4+3=11[/tex] ⇒ [tex]11=11[/tex]

So that means that Marcus practiced the piano for 4 hours and Donnel practiced for 7 
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