Simultaneous Equations - Application of Simultaneous Equations in Real World Contexts
Simultaneous Equations - Application of Simultaneous Equations in Real World Contexts
IP 1
6 marks
A fraction \(\frac{p}{q}\) is such that when \(3\) is added to its numerator, the fraction becomes \(\frac{2}{3}\). Half the sum of its numerator and denominator is \(11\).
Write down two equations relating \(p\) and \(q\).
[2]Solve the simultaneous equations and find the original fraction.
[4]
Solution:
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Answer:(a) \(3p-2q=-9\), \(p+q=22\).
(b) \(p=7,\ q=15\). Original fraction: \(\frac{7}{15}\).
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