Answer: there were 692 visitors on Saturday.
Step-by-step explanation:
Let x represent the number of visitors that were there on Friday.
Let y represent the number of visitors that were there on Saturday.
Let z represent the number of visitors that were there on Sunday.
The theme park had 1099 visitors in 3 days. It means that
x + y + z = 1099- - - - - - - - - - - - - -1
There were twice as many visitors on saturday than on Friday. This means that
y = 2x
x = y/2
There were 234 more visitors on Sunday than on Saturday. This means that
z = y + 234
Substituting x = y/2 and z = y + 234 into equation 1, it becomes
y/2 + y + y + 234 = 1099
Cross multiplying by 2, it becomes
y + 2y + 2y + 468 = 2198
5y = 2198 - 468
5y = 1730
x = 1730/5
x = 346
y = 2x = 2 × 346
y = 692
z = y + 234 = 692 + 234
z = 926
