Keep your sink clean!

Algebra Level 2

A sink contains exactly 12 liters of water. If water is drained away from the sink until it holds 6 liters of water less than the quantity drained away, then determine the volume of water that were drained away (in liters)?

6 3 2 9

2 solutions

Syed Baqir
Sep 13, 2015

Water in the sink = 12 (litre)

Water drained away = x

$12 - x + 6 \le x$

$18 \le 2x$

$x \ge 18/2$

$x \ge 9$

$\therefore x = 9$

How about this:

x = the water drained away

$the\quad water\quad left\quad in\quad sink\quad +\quad the\quad water\quad drained\quad away\quad =\quad 12\\ (x\quad -\quad 6)\quad +\quad x\quad =\quad 12\\ x\quad +\quad x\quad =\quad 12\quad +\quad 6\\ 2x\quad =\quad 18\\ x\quad =\quad 9$

thanks @Syed Baqir for the explication

Abda Ji-a - 5 years, 9 months ago

Equally correct !! NICE

Syed Baqir - 5 years, 9 months ago

Maybe You add small explanation for other users , that will be Brilliant my friend !!

Syed Baqir - 5 years, 9 months ago

I pretty much solved the problem like this, but I don't quite understand where those 6 liters went in this problem. If you took 6 away from the amount that was drained, wouldn't 6 more of those liters also go down the drain along with those 9 liters?

Deva Craig - 1 year, 11 months ago

Abda Ji-a
Sep 13, 2015

I understand that there is a quantity of water that drained away before the 6 liters drained away at the end but I didn't knew how much is this quantity. When I checked the multiples choices there was just one more than 6 so i choice it.

Check my solution :D

Syed Baqir - 5 years, 9 months ago

Keep your sink clean!

2 solutions

0 pending reports