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Answer:

49.6 liters

Step-by-step explanation:

Let the number of water that the smaller chest be x liters. If the smaller chest can hold 4/5 of the water that the large chest can hold, then:

The amount of water held by small chest (x) = 4/5 × amount of water that can be held by large chest

x = 4/5 × 62 liters = 49.6 liters

This means that the small chest can hold up to 49.6 liters of water

Smaller chest can hold 49.6 liters.

The smaller chest holds 4/5 the amount of water that the larger chest can hold which is 62 liters.

The amount the smaller chest can hold is therefore:

= Amount of water large chest can hold x proportion of large chest that small chest can hold

= 62 x 4/5

= 248/5

= 49.6 liters

The smaller chest can therefore hold 49.6 liters.

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