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.

Class: Form 1

Subject: Mathematics

Topic: Linear Equations

Lesson Summary

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. If he added 10kg of sugar to the original amount of sugar in each bag, the mass of sugar in bag B would be twice the mass of sugar in bag A. Calculate the original mass of sugar in each bag.



Text Answer


Let the mass of bag A be x and B be y
4(𝑥−4)=𝑦+4…….(1)
2(𝑥+10)=𝑦+10…..(2)

Remove the brackets.
2𝑥−𝑦=−10…….(2)
4𝑥−𝑦=20……….(1)
From (2) 2𝑥−𝑦=−10
𝑦=2𝑥+10

Substitute in (1)
4𝑥−(2𝑥+10)=20
4𝑥−2𝑥−10=20
2𝑥=20+10

2x2=305
𝑥=15𝑘𝑔.

𝑦=2(15)+10=30+10
= 40 kg.

More Video Lessons


View all video lessons