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

Class: Form 1

Subject: Mathematics

Topic: Linear Equations

## Lesson Summary

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

a) Find the price of each item.

b) Musoma spent sh. 228 to buy the same type of pencils and biro pens. If the number of biro pens he bought were 4 more than the number of pencils, find the number of pencils he bought.

### Text Answer

a) Let the cost of biro pen be b

Let the price of a pencil be p

4š+6š=66ā¦ā¦..(1)

2š+5š=51ā¦ā¦ā¦(2)

By elimination method

Multiply (2) by 2 to eliminate p

4š+6š=66

2(2š+5š=51)

4š+6š=66

-4š+10š=102

-4p-4=-36-4

š=š ā.9

Substitute b = 9 in (2)

2(š)+5(9)=51

2š+45=51

2š=51ā45

2p2=62

p=3

B= sh.9 p = sh.3

b)

B=x + 4

P = x

9(x + 4) + 3x = 228

9x + 36 + 3x = 228

12x = 228 ā 36

12x = 192

12x12=19212

X = 16

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