Since the ratio of mother to daughter is 4:1, the weight of the mother and daughter together is five times the weight of the daughter.
In fact, if the daughter weights [tex] d [/tex] pound, the mother weights [tex] 4d [/tex] pounds, and the total weight is [tex] d+4d = 5d [/tex].
We know that this total is 185 pounds, so we have
[tex] 5d = 185 \iff d = \dfrac{185}{5} = 37 [/tex]
So, the daughter weights 37 pounds.
