Kate had 50
tickets to use for rides at the fair. She lost some of them. Her dad doubled the tickets she had left.
Kate wrote the expression 2(50−t)
to find the number of tickets she has now, where t
is the number of tickets she lost.
Jack correctly wrote another expression, 100−2t
, to find the number of tickets Kate has now.
Use the drop-down menus to explain what each part of Kate's and Jack's expressions mean.
CLEAR CHECK
Kate's Expression: 2(50−t)
2:
50:
t:
50−t:
Jack's Expression: 100−2t
100:
t:
2t:
100−2t:
Kate's Expression: 2(50−t)
2: This number represents the factor by which Kate's remaining tickets are multiplied. In this case, her dad doubled the tickets she had left, so the factor is 2.
50: This number represents the initial number of tickets Kate had before she lost some of them.
t: This variable represents the number of tickets Kate lost. It is subtracted from the initial number of tickets to find the number of tickets she has now.
50−t: This expression represents the number of tickets Kate has now. By subtracting the number of tickets she lost (t) from the initial number of tickets (50), Kate can determine how many tickets she has left.
Jack's Expression: 100−2t
100: This number represents the total number of tickets Kate would have if she hadn't lost any. It acts as the starting point for the expression.
t: This variable represents the number of tickets Kate lost. It is multiplied by 2 and subtracted from 100 to find the number of tickets she has now.
2t: This expression represents twice the number of tickets Kate lost. It is obtained by multiplying the number of tickets lost (t) by 2.
100−2t: This expression represents the number of tickets Kate has now. By subtracting twice the number of tickets she lost (2t) from 100, Kate can determine how many tickets she has left.