Sondra has a lot of cats (which have four legs) and parakeets (which have two legs) but no other pets. Among her pets, Sondra counts 57 heads and 176 legs. How many cats does she have?

Question

Sondra has a lot of cats (which have four legs) and parakeets (which have two legs) but no other pets.  Among her pets, Sondra counts 57 heads and 176 legs.  How many cats does she have?

Reiny · Answer

number of cats -- c number of parakeets -- 57-c , there were 57 heads and I assumed each animal had only one head. 4c + 2(57-c) = 176 4c + 114 - 2c = 176 etc

Anonymous · Answer

thanks this really helped my son