simultaneous equations part ll.more excited?

Question

one tank holds 300L more than another, if the smaller is two thirds full it hold as much as the larger when it is half ful. what is the capacity of each?

Answer 1

the smaller tank is 900L and the bigger tank is 1200L

Tank 1 = T
Tank 2 = T+300

(2/3) T = (1/2) (T+300)
(2/3) T = (1/2) T + 150
(4/6) T = (3/6) T + 150
(1/6) T = 150
T = 900

Answer 2

the smaller tank has a capacity of 900 l and the larger tank has a capaclty of 1200 l

Answer 3

x = y + 300
(2/3)y = (1/2)x

(2/3)y = (1/2)(y + 300)
(2/3)y = (1/2)y + 150
multiply everything by 6
4y = 3y + 900
y = 900

x = y + 300
x = 900 + 300
x = 1200

ANS : 1200L and 900L

Answer 4

I don't really understand what you say, but I'll try, and please give me 10 points if I am right.

x + 300 = y
(2/3)x = (1/2)y

(4/3)x = y

So (4/3)x = x + 300

(4/3)x - x = 300

x ( 4/3 - 1) = 300

(1/3)x = 300

x = 900 #

y = x + 300

= 900+300

= 1200 #

Answer 5

900L, 1200L