Question

5. Jackie won tickets playing the bowling game at the local arcade. The first time, she won 50 tickets, The second time, she won a bonus, which was 4 times the number of tickets of the original second prize. Altogether she won 200 tickets. How many tickets was the original second prize? 4

Answer 1

Let's define the next variable:

x: the original second prize (in tickets)

The first time, she won 50 tickets. The second time, she won 4 times the number of tickets of the original second prize, that is, 4x. Altogether she won 200 tickets. That is,

50 + 4x = 200

50 is adding on the left, then it will subtract on the right

4x = 200 - 50

4x = 150

4 is multiplying on the left, then it will divide on the right

x = 150/4

x = 37.5

The original second prize was 37.5 tickets