(a) Solve : (7x + 4 < frac{1}{2}(4x + 3)).
(b) Salem, Sunday and Shaka shared a sum of N1,100.00. For every N2.00 that Salem gets, Sunday gets 50 kobo and for every N4.00 Sunday gets, Shaka gets N2.00. Find Shaka’s share.
Explanation
(a) (7x + 4 < frac{1}{2}(4x + 3))
(7x + 4 < 2x + frac{3}{2})
(7x – 2x < frac{3}{2} – 4)
(5x < -frac{5}{2})
(frac{5x}{5} < frac{-frac{5}{2}}{5})
(x < -frac{1}{2}).
(b) When Salem gets N2 ——> Sunday gets 50 kobo
(Recall N1 = 100 kobo)
Salem gets 200 kobo ——> Sunday gets 50 kobo.
Sunday gets N4 —–> Shaka gets N2.
====> Sunday gets 400 kobo ——> Shaka gets 200 kobo.
When Sunday gets 400 kobo ——> Salem gets 1600 kobo.
(therefore) Salem : Sunday : Shaka = 1600 : 400 : 200
= 8 : 2 : 1
(therefore text{Shaka’s share} = frac{1}{11} times N1,100 = N100)