Answer: There are 12 bracelets he have on in total.
Explanation:
Since we have given that
Number of bracelets are tie-dye is given by
![(1)/(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/o08xg954t1gbzo9avralvfomcybk63rm02.png)
Number of bracelets that are blue is given by
![(1)/(6)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1hfsyqujpiw8kz1nwo0zeow75fj0n2oyv6.png)
Total number of bracelets used till now is given by
![(1)/(3)+(1)/(6)\\\\=(2+1)/(6)\\\\=(3)/(6)\\\\ =(1)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5o4bcn2kmdz54vkqdpfdowy08dc4i9mey7.png)
Remaining bracelets are given by
![1-(1)/(2)\\\\=(1)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/k09xc1qcuf0kdccntdy3ohoiwhfgcreskx.png)
Number of bracelets that are camouflage is given by
![(1)/(3)* (1)/(2)=(1)/(6)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/p9rp8egpsq04urfkr8ini33e5p2mtbw44t.png)
Let the total number of bracelets he have on be 'x'.
Number of camouflage bracelets he wears = 2
According to question, we have
![(1)/(6)* x=2\\\\x=6* 2=12](https://img.qammunity.org/2020/formulas/mathematics/middle-school/z2e0tct9q652k822h2nn9j81crseu5id3s.png)
Hence, there are 12 bracelets he have on in total.