Question

The ratio of sandwiches with white bread to brown bread is 10:3. Out of the sandwiches that are white, 2 3 are vegetarian. Out of the sandwiches that are on brown bread, half are vegetarian. Wha

Answer 1

Answer:

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?

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

2/3 of 10 are vegetarians = $\frac{2}{3} \times 10 = \frac{20}{3}$

1/2 of 3 are vegetarians = $\frac{1}{2} \times 3 = \frac{3}{2}$

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

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