2023 ACSBR EM S1 EOY P2 Q5

In a farmhouse, there are chickens and pigs.

Each chicken has \({2}\) legs and each pig has \({4}\) legs.

There are a total of \({88}\) heads and \({214}\) legs.

Let \({x}\) be the number of chickens in the farmhouse.

1. Express, in terms of \({x}\), the number of pigs in the farmhouse.[1]
2. Express, in terms of \({x}\), the number of legs for the pigs in the farmhouse.[1]
3. Show that the total sum of legs of chickens and pigs in the farmhouse can be written as \({352 - 2x = 214}\).[2]
4. Find the number of pigs in the farmhouse.[1]