Answer: Kate's Expression: 2(50−t)
2: doubling of tickets remained.
50: total tickets in the beginning
t : the number of tickets Kate had lost
50-t: the number of tickets she had left after that
Jack's expression: 100−2t
100: twice the tickets in the beginning
t: the number of tickets Kate had lost
2t: twice the tickets lost
100−2t:the number of tickets Kate has now
Step-by-step explanation:
Le 't' be the number of tickets Kate had lost.
Total tickets in the beginning =50
Then the number of tickets she had left after that = 50-t
After her dad doubled the tickets , the total tickets she has now =2(50-t)
Here 2 represents the doubling of tickets remained.
Jack just use distributive property to it and multiply 2 to 50 and t individually.
He got the number of tickets Kate has now = 100-2t