Question

Ratio of sandwiches with white bread and brown bread is 10:3. Of the white sandwiches 2/3 are vegetarian, of the sandwiches that are brown half are vegetarian. What fraction of the sandwiches are vegetarian?

Answer 1

6/13 sandwiches are vegetarian

Explanation:

Answer 2

49/6 represents all the sandwiches which are vegetarian.

Explanation:

Givens

• The ratio between white bread and brown bread is 10:3, that is, for every 10 white bread, there are 3 brown bread.
• 2/3 of white sandwiches are vegetarian.
• 1/2 of brown sandwiches are vegetarian.

We know that white bread is represented by 10, and brown bread is represents by 3. So, 2/3 of 10 are vegetarians, and 1/2 of 3 are vegetarians. The sum of them is

`(2)/(3)10+(1)/(2)3=(20)/(3)+(3)/(2)=(40+9)/(6)=(49)/(6)`

Therefore, 49/6 represents all the sandwiches which are vegetarian.