# All the milk in container A which was filled to its brim was poured into two containers B and C.

All the milk in container A which was filled to its brim was poured into two containers B and C. The quantity of milk in container B was 62.5% less than the capacity of container A. If 158 liters was now transferred from C to B, then both the containers would have equal quantities of milk. What was the initial quantity of milk in container A?

## Quiz

1264

### Steps/Work

A
B has 62.5% or (5/8) of the milk in A. Therefore, let the quantity of milk in container A(initially) be 8k.
Quantity of milk in B = 8k - 5k = 3k.
Quantity of milk in container C = 8k - 3k = 5k
Container: A B C
Quantity of milk: 8k 3k 5k
It is given that if 158 liters was transferred from container C to container B, then both the containers would have equal quantities of milk.
5k - 158 = 3k + 158 => 2k =316 => k = 158
The initial quantity of milk in A = 8k = 8 * 158 = 1264 liters.

## General Calculator / Auto Solver

All the milk in container a which was filled to its brim was poured into two containers b and c. The quantity of milk in container b was % less than the capacity of container a. If liters was now transferred from c to b, then both the containers would have equal quantities of milk. What was the initial quantity of milk in container a?

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