Answer: 150 times
Explanation:
For this exercise it is important to analize the information given in the exercise.
Let be "x" the number of times you must play the Racetrack game to win enough credits to win the radio CD player.
You know that the total amount of credits you need to win the radio CD player is:
![Total\ credit=4,500](https://img.qammunity.org/2021/formulas/mathematics/middle-school/cp09zr71xnjs39bh4ktc8zy02k70mrt0ji.png)
Since each time you play the Racetrack game you win 30 credits, you can set up the following proportion:
![(1)/(30)=(x)/(4,500)}](https://img.qammunity.org/2021/formulas/mathematics/middle-school/tec2tsvjd2e0bbjolo4o9xp9e2op17nrey.png)
Finally, you must solve for "x" in order to find its value. You get that this is:
![(4,500)((1)/(30))=x\\\\x=150](https://img.qammunity.org/2021/formulas/mathematics/middle-school/fxdtsk9kukvoumvcancf0bob2gys7j5bax.png)
Therefore, you can conclude that you must play the Racetrack game 150 times to win enough credits for the radio CD player.