2024 EJC H1 Q1

2024 EJC H1 Q1

5 marks

A company produces three types of calculators: scientific, graphing and financial. The total price of \(4\) scientific calculators and \(6\) financial calculators is \$401.50. The price of a financial calculator is \(25\)% of the price of a graphing calculator. The company gives a \(10\)% discount off the price of any type of calculator if more than \(10\) of that particular type of calculator is purchased. John purchased \(8\) scientific calculators and \(16\) graphing calculators and paid \$3140.

  1. By writing down three linear equations, find the price of a financial calculator.[3]
  2. The manufacturing cost of a graphing calculator is \$150, find the percentage profit made from the graphing calculators sold to John.[2]

Solution:

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Answer:(a) 51.25 dollars. (b) 23% profit.

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