Question

Find the maximum number of children to whom 30 sweaters and 45

trousers can be equally distributed.also find how many sweaters and trousers each child got ?

Answer 1

• 15 children
• 2 sweaters; 3 trousers each

Explanation:

The desired distribution can be found by factoring out the greatest common factor from two numbers.

30 sweaters + 45 trousers = 15(2 sweaters + 3 trousers)

Each of 15 children got 2 sweaters and 3 trousers.

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Additional comment

The two numbers can be factored as ...

30 = 2·3·5

45 = 3·3·5

The factors these numbers have in common are 3·5 = 15