Alternative purchases from a fixed budget

Alternative purchases from a fixed budget

Secondary 2
7 marks
TGM Original Questions

An activity coordinator has a certain budget to buy entry passes. She can either buy exactly \(x\) adult passes at $4.50 each or \((x+5)\) student passes at $3.70 each and have $1.50 left.

  1. Form an equation in \(x\) and show that \(x=25\).[3]
  2. How much is the coordinator's budget?[1]
  3. If the coordinator buys 8 adult passes and uses the rest of the money to buy student passes, find
    1. the maximum number of student passes that she can buy;[2]
    2. the amount of money left.[1]

Solution:

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Answer:(a) \(4.50x=3.70(x+5)+1.50\), so \(x=25\). (b) \(112.50. (c)(i) 20 student passes; (ii) \)2.50.

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