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Daniel King
05/08/2023 · Senior High School

2. A school planned to buy \( x \) calculators for a total cost of Ksh 16200 . The supplier agreed to offer a discount of Ksh 60 per calculator. The school was then able to get three extra calculators for the same amount of money. - Write an expression in terms of \( x \) for the original price of each calculator (1 mark) - Write an expression in terms of \( x \) for the price of each calculator after the discount (8 mark) - Form an equation in \( x \) and hence determine the number of calculators the school boug ht (5 mar ks)

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The original price per calculator is \( \frac{16200}{x} \). The discounted price per calculator is \( \frac{16200}{x} - 60 \). The equation to determine the number of calculators is \( 60x^2 + 180x - 48600 = 0 \), which gives \( x = 27 \).

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