In January, Mambo donated 16th of his salary to a children’s home while Simba donated

Class: Form 1

Subject: Mathematics

Topic: Linear Equations

Lesson Summary

In January, Mambo donated 16th of his salary to a children’s home while Simba donated 15th of his salary to the same children’s home. Their total donation for January was ksh. 14 820. In February, mambo donated 18th of his salary to the children’s home while Simba donated 112th of his salary to the children's home. Their total donation for February was Ksh. 8 675. Calculate Mambo’s monthly salary.



Text Answer


Let mambo’s salary be x
Simba’s be y.

16𝑥(30)+15𝑦(30)=14820(30) multiply by L.C.M of 5 and 6 which is 30
5x + 6y = 444,600……..(1)

18𝑥(24)+112𝑦(24)=8675(24) multiply by L.C.M of 8 and 12 which is 24.
3𝑥+2𝑦=208,200….(2)

To eliminate y we multiply (2) by 3
5x + 6y = 444,600
3(3𝑥+2𝑦=208,200)
= 5x + 6y = 444,600
9𝑥+6𝑦=624600
-4x-4=-180000-4
=45,000

Mambo’s salary = sh. 45,000

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