Question

a publisher wants to ship the same number of books and magazines to one of its outlets. books come in boxes of 12 and magazines come in boxes of 36. what is the least number of boxes that can be shipped? 1 box of books and 3 boxes of magazines. 173 boxes of books and 3 boxes of magazines. 3 boxes of books and 1 box of magazines. 1 box of books and 1 box of magazines.

Explanation:

Step1: Find the least common multiple (LCM) of 12 and 36.

The prime factorization of 12 is $2^2\times3$, and for 36 it is $2^2\times3^2$. The LCM is $2^2\times3^2 = 36$. So the number of books and magazines to ship is 36 each.

Step2: Calculate the number of boxes for each.

For books: $\frac{36}{12}=3$ boxes. For magazines: $\frac{36}{36}=1$ box. So 3 boxes of books and 1 box of magazines.

Answer:

3 boxes of books and 1 box of magazines.