Answer:
12 bracelets
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 =
![(1)/(3)x](https://img.qammunity.org/2020/formulas/mathematics/high-school/3fzsio9idlmzzn7ga4xikjddswgnt5nvvs.png)
Parks wearing blue bracelets =
![(1)/(6)x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qnadth6bhbdb1n9dl4jzy2h2mmaowvmvm5.png)
So, total bracelets of tie die and blue =
![(1)/(3)x+(1)/(6)x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tslcon18yqpe4419vrd6olzdu3gsdwktjs.png)
=
![(3)/(6)x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/i8r4q4a6pwlech3nits62bh06ckvbk0vx8.png)
=
![(1)/(2)x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3hjuzgiqdbi0tqp592whh03ms34bzthwxv.png)
So, remaining bracelets :
=
![x-(1)/(2)x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/t7ou1hkrrl71u20pgqcd1wws9bt2sajppn.png)
=
![(1)/(2)x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3hjuzgiqdbi0tqp592whh03ms34bzthwxv.png)
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
⇒
![(1)/(3) *(1)/(2) x =2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yfguk1pa5j3k9s38t9q2fg4mqygntimizj.png)
⇒
![(x)/(6)=2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/l47kiya40p7uslfcjq1xlb3qok2juqt2s9.png)
⇒
![x=12](https://img.qammunity.org/2020/formulas/mathematics/high-school/l1rya1wlm4u6xxftxrhbufsqe6qjhgea2l.png)
Thus total number of bracelets are 12
Hence he have 12 bracelets