SOLUTION: 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 tha

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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): You can put this solution on YOUR website!
C, volume of cubic container
1400+C cubic centimeters, capacity of fish tank

was ;
Meaning
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(52814)   (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.



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