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
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.
To find out how many cans of soup were collected, we need to subtract the number of cans of vegetables, fruits, and canned meats from the total number of cans collected.
Given:
Total number of cans collected = 240
Proportion of cans that are vegetables = 2/5
Proportion of cans that are fruits = 1/3
Proportion of cans that are canned meats = 1/10
Number of cans that are vegetables = (2/5) * 240 = 96
Number of cans that are fruits = (1/3) * 240 = 80
Number of cans that are canned meats = (1/10) * 240 = 24
Now, we can calculate the number of cans that are soups:
Number of cans that are soups = Total number of cans collected - (Number of cans that are vegetables + Number of cans that are fruits + Number of cans that are canned meats)
Number of cans that are soups = 240 - (96 + 80 + 24)
Number of cans that are soups = 240 - 200
Number of cans that are soups = 40
Therefore, the student council collected 40 cans of soup.
The answer is B) 40.
To find the number of cans of soup collected, we need to subtract the number of cans of vegetables, fruits, and meats from the total number of cans collected.
First, let's find the number of cans of vegetables:
2/5 of the total cans are vegetables, so we multiply the total number of cans by 2/5.
240 x 2/5 = 96
So, there are 96 cans of vegetables.
Next, let's find the number of cans of fruits:
1/3 of the total cans are fruits, so we multiply the total number of cans by 1/3.
240 x 1/3 = 80
So, there are 80 cans of fruits.
Now, let's find the number of cans of meats:
1/10 of the total cans are meats, so we multiply the total number of cans by 1/10.
240 x 1/10 = 24
So, there are 24 cans of meats.
Finally, to find the number of cans of soup, we subtract the sum of the cans of vegetables, fruits, and meats from the total number of cans collected:
240 - (96 + 80 + 24) = 240 - 200 = 40.
Therefore, the student council collected 40 cans of soup.
The answer is B) 40.