Answer:
Pauli had 320 chips at the beginning of the game
Step-by-step explanation:
denoting x as the number of initial chips then
1°) lost half her total = x/2 , remaining after that = x-x/2= x/2
2°) won 54 chips, now Pauli has 54+x/2
3°) lost half her total again , now Pauli has 1/2( 54+x/2)
4°) won 50 chips , finally Pauli has 1/2( 54+x/2) + 50
therefore
1/2( 54+x/2) + 50 = 157
54+x/2 = (157-50)*2 = 214
x/2 = 214-54 = 160
x= 160*2 = 320 chips
x= 320 chips
then Pauli had 320 chips at the beginning of the game