contestada

Upon joining the Girl Scouts a member receives 4 patches. Karen has been in the girls scouts for quite awhile and has a total of 70 patches. If Karen earns 3 patches each month,how many months has Karen been a member of the girls scouts?

Respuesta :

calculista

Answer:

Karen has been a member of Girl Scouts for 22 months

Step-by-step explanation:

Let

x -----> the time in months

we know that

The total number of patches must be equal to the number of months multiplied by 3 patches each month plus 4 patches

so

[tex]70=3x+4[/tex]

Solve for x

Subtract 4 both sides

[tex]70-4=3x\\66=3x[/tex]

Divide by 3 both sides

[tex]22=x[/tex]

Rewrite

[tex]x=22\ months[/tex]

therefore

Karen has been a member of Girl Scouts for 22 months

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