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

Answer:

6/13 sandwiches are vegetarian

Step-by-step explanation:

Answer 2

Answer:

49/6 represents all the sandwiches which are vegetarian.

Step-by-step 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

$\frac{2}{3}10+\frac{1}{2}3=\frac{20}{3}+\frac{3}{2}=\frac{40+9}{6}=\frac{49}{6}$

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