Kate won a bag of candy at a raffle. She gave 1/5 of the candy to her brother, 1/4 of the candy to her friend, and had 11 pieces left over. How many pieces did she give her Brother?

1/5 + 1/4 = 9/20

so, the rest is 11/20

11/20 x = 11
so, 1/20 x = 1
x = 20

1/5 of 20 is 4 to her brother

To determine how many pieces of candy Kate gave her brother, we need to find 1/5 of the total candy she won.

Let's represent the total candy with the variable 'x'.

According to the given information, Kate gave 1/5 of the candy to her brother and 1/4 of the candy to her friend. The remaining candy she had is 11 pieces.

To find the amount she gave her brother, we can set up an equation:

x * 1/5 = 11

To solve this equation, we need to isolate the variable 'x'. Multiplying both sides of the equation by 5 will help in isolating 'x'.

(x * 1/5) * 5 = 11 * 5

Simplifying the equation gives:

x = 55

So, Kate won 55 pieces of candy.

To find the amount she gave her brother, we can calculate 1/5 of 55:

(1/5) * 55 = 55/5 = 11

Therefore, Kate gave her brother 11 pieces of candy.