Question 1208201: Hi
A cubic container was completely filled with water. When 3/5 of the water was poured into a fish tank, the tank was 1/4 full. If the capacity of the tank was 1400 cm^3 more than the container, what was the volume of the container.
Found 3 solutions by josgarithmetic, mananth, ikleyn:
Answer by josgarithmetic(39620)   (Show Source):
Answer by mananth(16946)  (Show Source):
You can put this solution on YOUR website! A cubic container was completely filled with water. When 3/5 of the water was poured into a fish tank, the tank was 1/4 full. If the capacity of the tank was 1400 cm^3 more than the container, what was the volume of the container.
let volume of container be x
First condition
When 3/5 of the water was poured into a fish tank, the tank was 1/4 full.
(3/5) x = (1/4)y
y = (3/5)(4/1) x = (12/5)x
If the capacity of the tank was 1400 cm^3 more than the container
x= y+1400
x = (12/5)x + 1400
multiply equation by 5
5x = 12x + 7000
7x = 7000
x =1000
The volume of the container is 1000 cm^3
Answer by ikleyn(52812)  (Show Source):
You can put this solution on YOUR website! .
A cubic container was completely filled with water. When 3/5 of the water was poured
into a fish tank, the tank was 1/4 full. If the capacity of the tank was 1400 cm^3 more
than the container, what was the volume of the container.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The solution in the post by @mananth is written incorrectly,
because the setup equation in his post is incorrect.
I came to bring a correct solution with correct writing.
let volume of container be x
First condition
When 3/5 of the water was poured into a fish tank, the tank was 1/4 full.
(3/5) x = (1/4)y
y = (3/5)(4/1) x = (12/5)x
If the capacity of the tank was 1400 cm^3 more than the container
x + 1400 = y <<<---=== ! ! ! It is the CORRECT setup equation,
in distinction from that by @mananth
x + 1400 = (12/5)x
multiply equation by 5
5x + 7000 = 12x
7000 = 12x - 5x = 7x
x = 7000/7 = 1000
The volume of the container is 1000 cm^3.
Solved and written correctly.
|
|
|
