WAEC 2009 · Paper 2 · Q2

(a)
Solve the equation $\dfrac{4x - 1}{3} - \dfrac{3x - 1}{2} = \dfrac{5 - 2x}{4}$ .
(b)
From a shop, Kofi bought 2 singlets and 3 shirts for GH¢31.00, while Kwasi bought 3 singlets and 2 shirts for GH¢29.00. How much will Yaw pay for one singlet and one shirt bought from the same shop?

Worked solution (try it first)

Let a singlet cost GH¢ $x$ and a shirt GH¢ $y$ : $2x + 3y = 31$ and $3x + 2y = 29$ .
Add the equations: $5x + 5y = 60$ , so $x + y = 12$ .
(Solving fully gives $x = 5$ and $y = 7$ .) Yaw pays GH¢12.00.