Question

There are some caps in a box. 1/6 of them are red, 1/3 are blue, and 3/7 of the remainder are green. If there are 27 green caps, how many caps are there altogether.

Answer 1

`(1)/(6)x+(1)/(3)x+(3)/(7)(x-((1)/(6)x+(1)/(3)x))=x\\(3)/(7)(x-((1)/(6)x+(1)/(3)x))=27\\(3)/(7)(x-((1)/(2)x))=27\\(3)/(7)((1)/(2)x)=27\\x=126`

126 caps