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