If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 50 cents at the same rate?

Step 1: First, we need to understand that the cost of 300 jellybeans is x dollars.

Step 2: We need to convert the cost from dollars to cents because the question asks how many jellybeans we can buy for 50 cents. There are 100 cents in a dollar, so x dollars is equal to 100x cents.

Step 3: Now, we can set up a proportion to find out how many jellybeans we can buy for 50 cents. If 300 jellybeans cost 100x cents, then we can set it up like this: 300 jellybeans / 100x cents = y jellybeans / 50 cents.

Step 4: Solve for y. Cross multiply to get 300 jellybeans * 50 cents = y jellybeans * 100x cents.

Step 5: Simplify to get 15000 = 100xy.

Step 6: Solve for y by dividing both sides by 100x to get y = 15000 / 100x = 150/x jellybeans.

So, you can buy 150/x jellybeans for 50 cents at the same rate.