, 2019

At Mathsland Animal Shelter there are only cats and dogs. Unfortunately, one day 60 of the animals managed to escape. Once a volunteer had realised, they counted the remaining animals. They noted that half of the cats and a third of the dogs had escaped.

(a) (i) If the number of cats before the escape was $C$ and the number of dogs before the escape was $D$, write down an equation linking $C$ and $D$.

(ii) If the total number of animals before the escape was $T$, write down an equation linking $C$, $D$ and $T$.

(b) Given that more cats than dogs escaped, find the largest possible value of $T$. You must justify why the value you have found is the largest.