200 cans of food were distributed to 3 charity homes. 2/5 of the cans were given to the first home, 1/3 of the remainder to the second home and the rest to the third home. How many cans did the third home receive?

Question

200 cans of food were distributed to 3 charity homes. 2/5 of the cans were given to the first home, 1/3 of the remainder to the second home and the rest to the third home. How many cans did the third home receive?

Answer 1

2/5 = 6/15

1/3 = 5/15

15/15 - 11/15 = 4/15

4/15 * 200 = ?

Answer 2

(2/5)x200=80

So the first charity got 80
200 - 80 = 120 which is left.
120x(1/3)=40
The second charity received 40 cans.
so 120-40 = 80 cans left to give to the third home.

Answer 3

To find out how many cans the third home received, we need to follow these steps:

Step 1: Determine the number of cans given to the first home.
Given that 2/5 of the cans were given to the first home, we can find it by calculating:
Number of cans given to the first home = (2/5) * 200

Step 2: Calculate the remaining cans after giving to the first home.
The remainder cans after giving to the first home can be calculated by subtracting the cans given to the first home from the total number of cans:
Remainder Cans = 200 - (2/5) * 200

Step 3: Determine the number of cans given to the second home.
Given that 1/3 of the remainder cans were given to the second home, we can find it by calculating:
Number of cans given to the second home = (1/3) * Remainder Cans

Step 4: Calculate the remaining cans after giving to the second home.
The remainder cans after giving to the second home can be calculated by subtracting the cans given to the second home from the remainder cans:
Remainder Cans = Remainder Cans - (1/3) * Remainder Cans

Step 5: Determine the number of cans given to the third home.
The remaining cans after giving to the second home will be the number of cans given to the third home:
Number of cans given to the third home = Remainder Cans

Now, let's calculate the values:

Number of cans given to the first home = (2/5) * 200
= (2/5) * 200
= 80 cans

Remainder Cans = 200 - (2/5) * 200
= 200 - (2/5) * 200
= 200 - 80
= 120 cans

Number of cans given to the second home = (1/3) * Remainder Cans
= (1/3) * 120
= 40 cans

Remainder Cans = Remainder Cans - (1/3) * Remainder Cans
= 120 - (1/3) * 120
= 120 - 40
= 80 cans

Number of cans given to the third home = Remainder Cans
= 80 cans

Therefore, the third home received 80 cans of food.