Answer: No, they don't have enough money.
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Step-by-step explanation:
Let's find the area of the shape given. It's composed of two rectangles.
- larger rectangle area = 8*9 = 72 sq meters
- smaller rectangle area = 6*7 = 42 sq meters
The two rectangle areas add to 72+42 = 114 sq meters. This is the total floor area.
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Let x be the number of tins of polish the caretaker buys.
One tin covers 12 m^2 of floor area. Buying x of them covers 12x square meters of space. We need to cover 114 square meters.
Solving 12x = 114 leads to x = 9.5 when you divide both sides by 12.
Since the caretake cannot buy half a tin, we must round up to the nearest whole number. This means s/he must buy 10 containers of polish.
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Each bottle of polish costs £19
Ten of them cost 10*19 = 190 pounds. This is before the discount.
If you save 30%, then you save 0.30*190 = 57 pounds and the final price is 190-57 = 133 pounds.
Or put another way: if you save 30%, then you pay the remaining 70% and that final price is 0.70*190 = 133 pounds.
This final price is 3 more pounds than what the caretaker has, so they don't have enough money.