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 sum of two times the number of test tubes and five times the number of beakers is 450. The number of beakers in the school's lab is? and the number of test tubes in the school's lab is?

Question

Mathematics

Jace Waller

9 July, 17:02

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 sum of two times the number of test tubes and five times the number of beakers is 450. The number of beakers in the school's lab is? and the number of test tubes in the school's lab is?

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Tiffany Hart · Answer 1

5t=3b+660 ... and ... 2t+5b=450

from the first we can see that t = (3b+660) / 5 and using this value in the second ...

(6b+1320) / 5+5b=450 making all have common denominator ...

6b+1320+25b=2250

31b=930

b=30 ... and since 2t+5b=450

t=150