Alex gave sarah half of her chocolate fudge. Sarah ate half of the fudge and gave the rest to ben. Ben kept 8 prices of the fudge and gave the last 10 to angela. How much fudge did sarah eat

Step-by-step explanation:

Let x represent the amount of chocolate fudge that Alex gave to Sarah. Sarah ate half of the fudge and gave the rest to ben. This means that the amount of the fudge eaten by Sarah is x/2.

The amount of the fudge given to Ben is x - x/2 = x/2

Ben kept 8 pieces of the fudge and gave the last 10 to angela. Therefore, the total fudge, x is expressed as

x = x/2 + 8 + 10

Multiplying through by 2, it becomes

2x = x + 16 + 20

2x - x = 36

x = 36

Amount of fudge eaten by Sarah is

x/2 = 36/2 = 18