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$t$ | $7n = 80-10t$ |
$1$ | $70\Rightarrow n=10$ |
$2$ | $60$ - not a multiple of $7$ |
other | This will always be a multiple of $10$, getting smaller $50, 40, 30, 20, 10$ are not multiples of $7$ |
A group of 20 people pay a total of £20 to see an exhibition. The admission price is £3 for men, £2 for women and 50p for children. How many men, women and children are there in the group?
Show that for any triangle it is always possible to construct 3 touching circles with centres at the vertices. Is it possible to construct touching circles centred at the vertices of any polygon?