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 Parks wears 2 camouflage bracelets how many bracelets does he have on

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RenatoMattice RenatoMattice · Answer 1 · 2019-02-13T06:39:40+01:00

Answer: There are 12 bracelets he have on in total.

Step-by-step explanation:

Since we have given that

Number of bracelets are tie-dye is given by

[tex]\frac{1}{3}[/tex]

Number of bracelets that are blue is given by

[tex]\frac{1}{6}[/tex]

Total number of bracelets used till now is given by

[tex]\frac{1}{3}+\frac{1}{6}\\\\=\frac{2+1}{6}\\\\=\frac{3}{6}\\\\ =\frac{1}{2}[/tex]

Remaining bracelets are given by

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

Number of bracelets that are camouflage is given by

[tex]\frac{1}{3}\times \frac{1}{2}=\frac{1}{6}[/tex]

Let the total number of bracelets he have on be 'x'.

Number of camouflage bracelets he wears = 2

According to question, we have

[tex]\frac{1}{6}\times x=2\\\\x=6\times 2=12[/tex]

Hence, there are 12 bracelets he have on in total.