Question

A school intended to buy a certain number of chairs for sh 16200. The supplier agreed to offer a discount of sh 60 per chair which enabled the school to get 3 more chairs.
Taking x originally intended number of chairs.
Write an expressions in term of x
Original price per chair
Price per chair after discount


Determine:
Number of chairs the school originally intended to buy;

Price per chair after discount;

Amount of money the school would have saved per chair if it bought the intended number of chairs at a discount of 15%

Answer 1

if the original price was p, then the total cost for x chairs was
xp = 16200
But, with the discount, 3 more chairs could be bought. That is,
(x+3)(p-60) = 16200
Now just work it out.
xp+3p-60x-180 = 16200
3p-60x = 180
p-20x = 60
but, we know that p = 16200/x, so
16200/x - 20x = 60
20x^2+60x-16200 = 0
x^2+3x-810 = 0
(x-27)(x+30) = 0
x = 27

Now you can work out the rest, I'm sure.

Answer 2

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