Mathland Election
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 |
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