Question

If the ratio of star shaped cookies to circular cookies is 5: 6 and the ratio of circular cookies to triangular cookies is 3: 10, find the ratio of star shaped cookies to triangular cookies. pls answer with all the steps

Answer 1

`1:4`

Explanation:

Without loss of generality, let there be 5 star shaped cookies. Following the proportions given, there will be 6 circular cookies. We can set up the following proportion to find out how many triangular cookies there would be:

`(3)/(10)=(6)/(x),\\3x=60,\\x=20`.

Therefore, for every 5 star shaped cookies there will be 20 triangular cookies.

Simplifying this ratio we have
`5:20 \implies \boxed{1:4}`.