parks is wearing several rubber bracelets. 1/3 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
1/3 + 1/6 = 1/2
1/3 * 1/2 = 1/6
so 1/6 x = 2
x = 12
That makes 4 tied, 2 blue, 2 camo, 4 other
To find out how many bracelets Parks has in total, we'll need to break down the given information step by step.
1. First, let's find out how many of Parks' bracelets are camouflage. We know that 1/3 of the remainder (after removing tie-dye and blue bracelets) are camouflage. So, if Parks has 2 camouflage bracelets, this must equal 1/3 of the remainder.
Let's represent the remainder as "x". Then, we can set up the equation:
(1/3) * x = 2
To solve for x, we can multiply both sides of the equation by 3:
x = 2 * 3
x = 6
Therefore, the remainder, which represents the total number of bracelets excluding tie-dye and blue, is equal to 6.
2. Next, let's find out the total number of tie-dye bracelets. We know that 1/3 of the bracelets are tie-dye. We can set up the equation:
(1/3) * total number of bracelets = number of tie-dye bracelets
Since we don't know the total number of bracelets yet, let's represent it as "y". The equation becomes:
(1/3) * y = number of tie-dye bracelets
3. Similarly, let's find out the total number of blue bracelets. We know that 1/6 of the bracelets are blue. We can set up another equation:
(1/6) * y = number of blue bracelets
4. Now, let's add up the number of tie-dye and blue bracelets to get the remainder:
number of tie-dye bracelets + number of blue bracelets = 6 (the remainder)
5. Using the equations from step 2 and step 3, we can substitute the values to get:
(1/3) * y + (1/6) * y = 6
To simplify the equation, we can find a common denominator of 6:
(2/6) * y + (1/6) * y = 6
(3/6) * y = 6
Multiplying both sides by 6/3, we get:
y = 6 * 6/3
y = 12
Therefore, the total number of bracelets Parks has is 12.