Based on census data and namm data, how many musicians are there? There are $115,226,802$ households in the US. $58$% of households have at least $1$ musician. $43$% have $2$ or more musicians.
How many musicians are there?
Any help would be appreciated... 
 A: For a minimum, we have $15\%$ of the households with exactly one musician, so there are at least $115,226,802*(0.15+2*0.43)=116,379,070.02$ musicians.  I'm not sure what to do with $0.02$ musician.  There could be more, as there could be some households with more than two.
A: You can only narrow it down. 
Assuming:
    * "2.61 persons per household"
    * 58% of household with at least 1 musician is exact-- 42% have no musician at all and likewise, 
    * 43% percent have 2+ musicians and thus 57% have exactly 0 or 1 musician
Let T=115,226,802.
a.) 15%*T houses have exactly 1 musician --> 15%*T musicians
b.) 43%*T houses have at least 2 --> 43%*T*2 musicians 
c.) 42%*T non-musicians 
min.#musicians is 101%*T.
min.#non-musicians is 42%*T.
Total population is 100%*T*2.61=T*2.61=261%T
[261-(101+42)]%T=117%T=1.17*115,226,802 people can be anything. 
In the expected case, it's all evenly split: there's 2.61 persons living in each and every household. 
Then, it gets narrower:
From (a) above, 15%T musicians and 15%*T*1.61 non-musicians.
From (c) 42%*T*2.61 non-musicians.
the remaining 0.61*43%*T persons-- the rest of the household in 2+musician houses 
is vague, can't be told without more on how it is distributed beyond 2+/household.
