harmonyanderson1 harmonyanderson1
  • 23-09-2022
  • Mathematics
contestada

If you ask Megan how many dogs she has, she answers with a riddle: "Four-sevenths of my dogs plus 9." How many dogs does she have?

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Finbar
Finbar Finbar
  • 23-09-2022

Step-by-step explanation:

This is a simple system of equations problem, with our equation being:

[tex]\frac{4}{7}x+9=x[/tex]

We know this as her dogs (x) is equal to 4/7 of her dogs (x) plus 9. Now all we must do is solve for x:

[tex]\frac{4}{7}x+9=x\\\\\frac{4}{7}x=x-9\\\\\frac{4}{7}x=\frac{7}{7}x-9\\\\\frac{-3}{7}x=-9\\\\x=21[/tex]

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