# 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

Next: Karani bought 4 pencils and 6 biro pens for sh. 66 and Tachora bought 2 pencils and 5 biro pens for sh. 51

Previous: Bukra had two bags A and B, containing sugar. If he removed 4kg of sugar from bag A and added it to bag B, the mass of sugar in bag B would be four times the mass of sugar in bag A.

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