Question

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

Answer 1

Hint: In the above question we will use the concept of unitary method to solve the above question. Also we will use the conversion of dollars into cents as 1 dollar is equal to 100 cents.

Complete step-by-step answer:
 We have been given that 300 jellybeans cost x dollars. Using the unitary method, we can write the number of jellybeans we will get for 1 dollar as below.
Then, in 1 dollar number of jellybeans = $\dfrac{300}{x}$ .
Again we can use the unitary method. Now, we know that 1 dollar is equal to 100 cents. So, in 100 cents the number of jellybeans = $\dfrac{300}{x}$.
Now, in 1 cents number of jellybeans = \[\dfrac{300}{100\times x}\]
So, in 50 cents, we will get the number of jellybeans =\[\dfrac{300}{100\times x}\times 50=\dfrac{150}{x}.\]
Therefore, the number of jellybeans that can be purchased for 50 cents at the same rate is \[\dfrac{150}{x}\].

Note: Just be careful while doing calculation as there is a chance that you might make a mistake and you will get the incorrect answer. Also remember the conversion of dollars into cents as it will help you a lot in these types of questions. The cent , commonly represented by the cent sign is a monetary unit of many national currencies that equal \[\dfrac{1}{100}th\] of the basic monetary unit.