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Mathland Election

Stage: 3 Challenge Level: Challenge Level:1

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 $38\%$
Labour $38\% - 1654$ votes
SNP $14\% + 50$ votes
Liberal Democrat $14%$

Since all the votes add up to 100%

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

$104\% - 1604 = 100%$

therefore $4\% = 1604$ votes

$1\% = 401$ votes

and $100\% = 40100$ total votes.

Therefore

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