Question

A teacher is making identical packets using 92 crayons and 23 sheets of paper. What is the greatest number of packets she can make with no items left over

Answer 1

92 crayons
23sheets of paper
92÷23=4
4 crayons per sheet
Answer is 23 packets

Answer 2

The greatest number of identical packets she can make with no items left over is 23. Each packet will have 4 crayons and 1 sheet of paper.

Explanation:

The first step is to check if exists a linear relationship between the amount of crayons and the amount of sheets of paper. We can check this by dividing one amount over the another one :

`(92)/(23)=4` ⇒ This proportion 92 : 23 is equivalent to 4 : 1

We find that for each sheet of paper we will need 4 crayons to make all the packets identical.

Now, to see which will be the greatest number of packets we only need to look at the number of sheets of paper (because each packet will have only one sheet of paper).

The teacher has 23 sheets of paper. Therefore, she will be able to make 23 identical packets ( where each one will have 4 crayons and 1 sheet of paper).