The student council collected 240 cans of food for their winter food drive.




• 2/5
of the canned goods are vegetables.

• 1/3
of the canned goods are fruits.

• 1/10
of the canned goods are canned meats.
• The rest of the canned goods are soups.

How many cans of soup were collected?
Responses
A 88
B 40
C 200
D 50

1 answer

To find the number of cans of soup collected, we need to find the remaining fraction of the canned goods after considering the vegetables, fruits, and canned meats.

The fraction of canned goods that are vegetables is 2/5. The fraction of canned goods that are fruits is 1/3. The fraction of canned goods that are canned meats is 1/10.

To find the remaining fraction that represents the cans of soup, we need to subtract the fractions of vegetables, fruits, and canned meats from 1 (since the total fraction of canned goods is 1).

1 - (2/5 + 1/3 + 1/10) = 1 - (12/30 + 10/30 + 3/30) = 1 - (25/30) = 1 - 5/6 = 1/6

Therefore, 1/6 of the cans of food collected are soups.

To find the number of cans of soup, we multiply 1/6 by the total number of cans collected:

1/6 * 240 = 40

Therefore, 40 cans of soup were collected.

The answer is B) 40.