Question

Skylar has a bag that contains pineapple chews, apple chews, and peach chews. She performs an experiment. Skylar randomly removes a chew from the bag, records the result, and returns the chew to the bag. Skylar performs the experiment 23 times. The results are shown below:

A pineapple chew was selected 8 times.
A apple chew was selected 9 times.
A peach chew was selected 6 times.

If the experiment is repeated 2000 more times, about how many times would you expect Skylar to remove a peach chew from the bag? Round your answer to the nearest whole number.

Answer 1

522 times

Explanation:

From this experiment, Skylar selects a peach chew 6/23 of the time. 6/23*2000=522. This works because 6/23 is the amount of chance Skylar has of selecting a peach chew if she selects one chew. If she selects 2000 chews, therefore, her odds of getting a peach chew would mean that she would get about 522 peach chews.

Answer 2

522 times

Explanation:

a peach chew was chosen 6 out of 23 times so we can create a proportion out of 2000 based on that ratio:

'p' = times peach is chosen out of 2000

6/23 =p/2000

cross-multiply to get:

23p = 12000

p = 12000/23

p = 522 times