Given:
A pineapple chew was selected 24 times.
An apple chew was selected 6 times.
A lime chew was selected 26 times.
Let's first determine the probability of selecting apple chew based on the result of the experiment:
[tex]\text{ Probability}_{Apple\text{ }Chew}\text{ = }\frac{\text{ 6}}{\text{ 56}}\text{ = }\frac{3}{28}[/tex]Let's now determine the number of apple chew expected if the experiment is repeated 200 times.
[tex](\frac{3}{28})(200)[/tex][tex]\text{ = }\frac{600}{28}\text{ = 21.428571}\ldots[/tex][tex]\text{ }\approx\text{ 21}[/tex]Therefore, the answer is around 21 times.