A laboratory uses liquid nitrogen tanks of two different sizes. The combined volume of 3 large tanks and 2 small tanks is 24 liters. The combined volume of 2 large tanks and 3 small tanks is 21 liters. What is the volume of each size of tank?

large tank volume = 6 litres

small tank volume = 3 litres

Step-by-step explanation:

Given that,

The combined volume of 3 large tanks and 2 small tanks is 24 litres.

The combined volume of 2 large tanks and 3 small tanks is 21 litres.

Suppose large tank volume = x

Suppose small tank volume = y

First Equation

3x + 2y = 24

Second Equation

2x + 3y = 21

Now solve them

3x = 24 - 2y

x = (24 - 2y) / 3

Put value of x in second equation

2 { (24 - 2y) / 3} + 3y = 21

2 (8) - 4y/3 + 3y = 21

16 - 4y/3 + 3y = 21

3y - 4y/3 = 21-16

5y/3 = 5

5y = 15

y = 15/5

y = 3

3x = 24 - 2 (3)

3x = 18

x = 6