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.