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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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 · Answer 1 · 2015-09-13T07:00:38+02:00

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