Question

Q1.

Diaries are sold in boxes of 12

Pencils are sold in boxes of 10

Rulers are sold in boxes of 6

A teacher wants to buy the same number of diaries, pencils and rulers.

Work out the smallest number of boxes of each item he could buy.

boxes of diaries

boxes of pencils

boxes of rulers

Tebal

Answer 1

5 boxes of diaries

6 boxes of pencils

10 boxes of rulers

Explanation:

In order to find the smallest number of units that would be possible to buy, find the least common multiple between the number of units in each box:

`12\ \ 10\ \ 6\ |2\\6\ \ \ \ 5\ \ \ 3\ |2\\3\ \ \ \ 5\ \ \ 3\ |3\\1\ \ \ \ 5\ \ \ 1\ |5\\1\ \ \ \ 1\ \ \ 1\ | = 2*2*3*5=60`

The number of boxes required for each item to get 60 units is:

`d=(60)/(12) = 5\ boxes \\p=(60)/(10) = 6\ boxes \\r=(60)/(6) = 10\ boxes`

the smallest number of boxes of each item he could buy is:

5 boxes of diaries

6 boxes of pencils

10 boxes of rulers