Answer:
Number of test tubes is 150 while the number of beakers is 30
Step-by-step explanation:
Five times the number of test tubes in a school’s chemistry lab exceeds three times the number of beakers it has by 660.
The above expression can be expressed below
Let the number of test tubes = t
Let the number of beakers = b
5t - 3b = 660.......................(i)
The sum of two times the number of test tubes and five times the number of beakers is 450.
This can be expressed as follows
2t + 5b = 450..................(ii)
The linear equation is simultaneous equation
5t - 3b = 660.......................(i)
2t + 5b = 450..................(ii)
2t = 450 - 5b
t = 450/2 -5b/2
t = 225 - 5b/2
Insert t in equation (i)
5t - 3b = 660.......................(i)
5(225 - 5b/2) - 3b = 660
1125 - 25b/2 -3b = 660
1125- 660 = 12.5b + 3b
465 = 15.50b
465/15.50 = b
b = 30
insert b in equation (ii)
2t + 5b = 450..................(ii)
2t + 5(30) = 450
2t = 450 - 150
2t = 300
t = 300/2
t = 150
Number of test tubes is 150 while the number of beakers is 30
