We have received correct solutions from Sarah Dunn, Ben Falconer, Fern Smith and Ian Downie, all from Madras College. Well done to you all.

They all used a similar argument:

Conservative $38\%$ $38\% - 1654$ votes $14\% + 50$ votes $14%$

$38\% + 38\% -1654 +14\% + 50 + 14\% = 100\%$

$104\% - 1604 = 100%$

therefore $4\% = 1604$ votes

$1\% = 401$ votes

and $100\% = 40100$ total votes.

Therefore

Conservative Labour $38\%$ of $40100 =$ $15238$ votes $15238 - 1654 =$ $13584$ votes $5614 + 50 =$ $5664$ votes $14% of 40100 =$ $5614$ votes $40100$ votes