Prices from two purchases

Prices from two purchases

Secondary 2
7 marks
TGM Original Questions

Four notebooks and seven pens cost \(\$29\). Nine notebooks and two pens cost \(\$24\). Let \(n\) dollars be the price of one notebook and \(p\) dollars be the price of one pen.

  1. Form two equations in \(n\) and \(p\).[2]
  2. Solve the equations obtained in (a) to find the price of each item.[3]
  3. Hence, find the total cost of five notebooks and four pens.[2]

Solution:

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Answer:(a) \(4n+7p=29,9n+2p=24\) (b) \(n=2,p=3\) (c) \(22\)

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