Answer:
- 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