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

Answer:

$1:4$

Step-by-step 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:

$\frac{3}{10}=\frac{6}{x},\\3x=60,\\x=20$.

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

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