(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.
(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.
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
Correct Answer: Option n
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
\(\therefore \text{Shaka's share} = \frac{1}{11} \times N1,100 = N100\)
(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
\(\therefore \text{Shaka's share} = \frac{1}{11} \times N1,100 = N100\)