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2013 WAEC Mathematics Theory (a) Solve : \(7x + 4 < \frac{1}{2}(4x + 3)\). (b) Salem, Sunday and Shaka...

Mathematics
WAEC 2013

(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.

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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

\(\therefore \text{Shaka's share} = \frac{1}{11} \times N1,100 = N100\) 


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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free