Question

MATH QUESTION : My date tonight made reservations for us at his favorite Italian restaurant. He didn't know that I am a vegetarian with a gluten allergy. There are four dishes here without meat in them. That's just one fifth of the menu. And three of those meatless dishes are made with pasta, which contains gluten. What fraction of the items on the menu at this restaurant can I eat?

Answer 1

Answer:

1 out of 20

Step-by-step explanation:

If the 4 of the dishes you can eat are 1 fifth of the dishes then the total number of dishes are

If 1/5=4

Then 1=5*4

=20

Therefore there are 20 dishes on the menu

if you still cannot eat 3 of the 4 meat-less

Then you can only eat 1 out of the 20 dishes

Hence the answer 1/20

Answer 2

Answer:

If there are 4 vegetarian dishes on the menu and 3 of them contain gluten, then 4-3=1 vegetarian dish does not contain gluten. This means that 1/4 of the vegetarian dishes are gluten-free. We know that 1/5 of all the dishes on the menu are vegetarian, so 1/4 times 1/5 = 1/20 of the menu items are both vegetarian and gluten-free.