Julia makes friendship bracelets. She was recently given nine bracelets from different people. At Christmas, she plans to give away ome third of her bracelets. She will be left with 23. With how many did she start?

Respuesta :

Answer:

The number of bracelets with she start are 48.

Step-by-step explanation:

Given:

Julia was recently given 9 bracelets. She plans to give 1/3 of her bracelets. She will be left with 23.

Now, we need to find with how many did she start.

Let the bracelets with she start be [tex]x[/tex].

She plans to give [tex]\frac{1}{3}ofx[/tex] = [tex]\frac{x}{3}[/tex].

According to question:

[tex]x-9-\frac{x}{3}=23[/tex]

On solving the equation:

[tex]\frac{3x-27-x}{3} =23[/tex]

Multiplying both sides by 3 we get:

[tex]3x-27-x=69[/tex]

[tex]2x-27=69[/tex]

Adding both sides by 27 and then dividing by 2 we get:

[tex]x=48[/tex]

Therefore, the number of bracelets with she start are 48.

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