Parks is wearing several rubber bracelets one third of the bracelets are tie dye 1/6 are blue and 1/3 of the remainder are camouflage if Park swears to camouflage bracelets how many bracelets does he have on

Respuesta :

Answer:

12 bracelets

Step-by-step explanation:

Given : Parks is wearing several rubber bracelets one third of the bracelets are tie dye 1/6 are blue and 1/3 of the remainder are camouflage

To Find :if Park swears 2 camouflage bracelets how many bracelets does he have on

Solution:

Let x be the number of bracelet are tie dye

Sine we are given that park wears 1/3 of bracelets

Parks is wearing bracelets of tie dye  = [tex]\frac{1}{3}x[/tex]

Parks wearing blue bracelets =  [tex]\frac{1}{6}x[/tex]

So, total bracelets of tie die and blue = [tex]\frac{1}{3}x+\frac{1}{6}x[/tex]

                                                              =[tex]\frac{3}{6}x[/tex]

                                                              =[tex]\frac{1}{2}x[/tex]

So, remaining bracelets : 

=  [tex]x-\frac{1}{2}x[/tex]

=[tex]\frac{1}{2}x[/tex]

Since we are given that 1/3 of remaining are camouflage

We are also given that park wears 2 camouflage bracelet

Since we are given that 1/3 of remaining are camouflage

⇒[tex]\frac{1}{3} *\frac{1}{2} x =2[/tex]

⇒[tex]\frac{x}{6}=2[/tex]

⇒[tex]x=12[/tex]

Thus total number of bracelets are 12

Hence he have 12 bracelets