A bakery mixes flour and sugar in the ratio 3 : 2 by weight. If the baker wants to make a batch that weighs exactly 25 kg, how many kilograms of flour and sugar should she use?

hard 3 marks Class 6 · Mathematics · Ratio and Proportion

Answer

Flour = 15 kg, Sugar = 10 kg

The correct answer is Flour = 15 kg, Sugar = 10 kg — Therefore, 15 kg of flour and 10 kg of sugar are needed.

Step-by-step solution

Let the amount of flour be $3 k$ kg and the amount of sugar be $2 k$ kg, where $k$ is a common multiplier.
The total weight of the batch is $3 k + 2 k = 25$ kg.
Solve $5 k = 25$ to get $k = 5$ .
Compute the flour quantity: $3 k = 3 \times 5 = 15$ kg.
Compute the sugar quantity: $2 k = 2 \times 5 = 10$ kg.
Therefore, 15 kg of flour and 10 kg of sugar are needed.

Common mistake: Treating the parts as percentages instead of proportional weights.

Concept tested: Applying proportions to mixtures