Question

1. A tank is 3/5 full of water. After 330 litres of water is drawn out, it becomes 2/7 full. Find the capacity of the tank in litres.​

Answer 1

Answer:

1050

Step-by-step explanation:

Let x = full capacity

$\frac{3}{5} x=\frac{2}{7} x+330$

Move the variable to the left side by subtracting both sides by $\frac{2}{7} x$

$\frac{3}{5} x-\frac{2}{7}x=\frac{2}{7} x+330 -\frac{2}{7}x$

$\frac{3}{5} x-\frac{2}{7} x=330$

Combine the like terms (don't forget about common denominator)

$\frac{21}{35} x-\frac{10}{35} x=330$

$\frac{11}{35} x=330$

Multiply both sides by $\frac{35}{11}$ to isolate the x

$(\frac{35}{11})\frac{11}{35} x=330(\frac{35}{11})$

$x = 1050$