A fruit juice mixture is prepared by combining orange extract and water in the ratio 3 : 5… — JAMB UTME

A fruit juice mixture is prepared by combining orange extract and water in the ratio $3 : 5$ . If a bottle contains $40\text{ litres}$ of this mixture, how many litres of water does it contain?

Answer: 25 litres

Answer

The volume of water in the mixture is 25 litres.

The mixture ratio of orange extract to water is

3 : 5

, giving a total of

3 + 5 = 8

equal parts. Dividing the total volume of

40\text{ litres}

8

parts gives

5\text{ litres}

per part. Since water makes up

5

parts of the ratio, its volume is

5 \times 5 = 25\text{ litres}

Step-by-Step Solution

Determine the total number of parts in the ratio.

3 + 5 = 8 parts

The full volume of the mixture is divided into equal portions represented by the sum of the ratio parts.

Calculate the volume per ratio part.

40 / 8 = 5 litres per part

Dividing the total volume by the total number of parts gives the size of a single part.

Find the quantity of water.

5 * 5 = 25 litres

Water accounts for 5 parts of the ratio, so multiply 5 parts by 5 litres per part.

Key Concept

Ratio Sharing and Proportional Division

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