Lena knows the following information about her box of 18 candies: 10candies contain both chocolate and caramel

Lena knows the following information about her box of 18 candies: 10candies contain both chocolate and caramel. 3 candies contain neither chocolate nor caramel. 12 candies in total contain chocolate. my question is: how many candies contain chocolate while do not contain caramel? how many candies contain caramel while do not contain chocolate

Step 1: set up a two-way table with the information given.

	Contain Caramel	Do not Contain Caramel	Total
Contain Chocolate	10	?	12
Do not Contain Chocolate	?	3	?
Total			18

Step 2: Now, fill in the missing values

The number of candies which contain chocolate and do not contain caramel are 12 - 10 = 2.

The total number of candies which do not contain caramel are 2 + 3 = 5.

The total number of candies which contain caramel are 18 - 5 = 13.

The number of candies which do not contain chocolate and contain caramel are 13 - 10 = 3.

The total number of candies which do not contain chocolate are 3 + 3 = 6.

	Contain Caramel	Do not Contain Caramel	Total
Contain Chocolate	10	10 + 2 = 12	12
Do not Contain Chocolate	13 - 10 = 3	3	3 + 3 = 6
Total			18