A container holds two liquids, A and B, mixed in the ratio 8 : 5 8 : 5 8 : 5 . When $13$ liters of this mixture is removed and replaced entirely with ...

Question

A container holds two liquids, A and B, mixed in the ratio 8:58 : 5. When $13$ liters of this mixture is removed and replaced entirely with liquid B, the new ratio of A to B in the container becomes 1:11 : 1. What was the initial quantity of liquid A in the container?

Options

A.

1283 liters\frac{128}{3} \text{ liters}

B.

117 liters117 \text{ liters}

C.

1343 liters\frac{134}{3} \text{ liters}

D.

1213 liters\frac{121}{3} \text{ liters}

E.

130 liters130 \text{ liters}

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