ANSWER:
Orange beads come in packs of 20. Minimum number of bead pack are 6.
SOLUTION:
Given, Orange beads come in packs of 20,
And green beads come in packs of 100.
We have to find what is the least numbers of packs you should buy in order to have the same numbers of orange and green beads.
First, let us buy each one pack of orange and green beads.
Now, we have 20 orange and 100 green beads.
Compare both numbers, and buy one more pack of beads which are less in numbers.
Orange beads are less in numbers, so buy one more pack of orange beads.
Now, we have 40 orange beads and 100 beads. We have to repeat above process until both the numbers becomes equal.
Now, orange beads are less in number, so buy one more pack.
We will have 60 orange beads and 100 green beads.
Still, orange beads are less in numbers, so buy one more pack of orange beads.
We will have 80 orange beads and 100 green beads.
And still orange beads are less in numbers. So buy one more pack of orange beads.
We will have 100 orange beads and 100 green beads.
Now, both the numbers are equal. Up to now, we have bought 5 packs of orange beads and one pack of green beads.
So minimum number of bead pack are 6.