Question

A bag contains black and white hats in the ratio of 6 to 9 as shown below:

Which is another ratio that can describe the black to white hats?

8 to 5
5 to 8
3 to 2
2 to 3

Answer 1

Are 6 and 9 divisible by a common number?

Answer 2

yess

Answer 3

What would the ratio be if you had 4 times as many hats? Imagine printing that image four times.

Answer 4

8 tooo

Answer 5

5?

Answer 6

I count 6 black hats. If I printed the picture four times I would see 24 black hats. How many white hats would be on four printouts?

Answer 7

36

Answer 8

So the ratio, if you multiply it by 4, becomes 24 to 36. What happens if you multiply it by \(\frac13\)?