SOLUTION: A rectangular container is 2/5 full of water. If 3 and 1/2 L of water are poured into the container, it will be 3/4 full. What is the capacity of the container?

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Question 1121323: A rectangular container is 2/5 full of water. If 3 and 1/2 L of water are poured into the container, it will be 3/4 full. What is the capacity of the container?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Difference between 2%2F5 and 3%2F4:
3%2F4-2%2F5
15%2F20-8%2F20
7%2F20

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%287%2F20%29%2AC=3%261%2F2
C=%2820%2F7%29%287%2F2%29
highlight%28C=10%29-------capacity in liters

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


Basic algebra....

let the capacity of the container in liters be x.

Then the amount of water initially in the container is (2/5)x; when 3.5L of water are added, the amount in the container is (3/4)x.

So
%282%2F5%29x+%2B+3.5+=+%283%2F4%29x

Solve using basic algebra.

Probably start by multiplying the whole equation by the least common denominator to get rid of the fractions....?