Theory question 102
Commercial Arithmetic(a) Solve: 7x + 4 < ½(4x + 3).
(b) Salem, Sunday and Shaka shared a sum of ₦1,100.00. For every ₦2.00 that Salem gets, Sunday gets 50 kobo and for every ₦4.00 Sunday gets, Shaka gets ₦2.00. Find Shaka's share.
Show the model answer
Model answer
(a) 14x + 8 < 4x + 3 → 10x < −5 → x < −½.
(b) Salem : Sunday = 2 : 0.5 = 4 : 1; Sunday : Shaka = 4 : 2 = 2 : 1.
So Salem : Sunday : Shaka = 8 : 2 : 1 (11 parts).
Shaka's share = 1/11 × 1100 = ₦100.00.
Explanation
Make Sunday's part the same in both ratios before combining.