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A shopkeeper sells two types of pangas, type x and type y. Twelve type x pangas and 5 type y pangas cost sh 1,260, while nine type x pangas and fifteen type y pangas cost sh 1,620.

Class: Form 1

Subject: Mathematics

Topic: Linear Equations

Lesson Summary

A shopkeeper sells two types of pangas, type x and type y. Twelve type x pangas and 5 type y pangas cost sh 1,260, while nine type x pangas and fifteen type y pangas cost sh 1,620. Mugala bought eighteen type y pangas. How much did he pay for them?



Text Answer


Let type x cost x
Type y cost y

12š‘„+5š‘¦=1260ā€¦..(1)
9š‘„+15š‘¦=1620ā€¦ā€¦(2)

We eliminate y by multiplying (1) by 3
3(12š‘„+5š‘¦=1260)
9š‘„+15š‘¦=1620

36š‘„+15š‘¦=3780
-9š‘„+15š‘¦=1620
27x = 2160
27x27=216027

X= 80/=

To find y we substitute x = 80 in (1)
12(80)+5š‘¦=1260
960+15š‘¦=1620
5š‘¦=1260āˆ’960
5y5=3005

š‘¦=60/=

Mugala bought 18 type y pangas = 18 x 60= sh. 1,080

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