Question

There are 100 jelly beans in a jar, 15 are black. 20 are red, 25 are yellow and 30 are green and the are orange. Write a fraction in the simplest form of the number of jelly beans that are orange Explain your reasoning for your answer.

Answer 1

The fraction of the number of jelly beans that are orange is;

`(1)/(10)`

Step-by-step explanation:

Given that;

There is a total of 100 jelly beans in the jar.

Of the total;

15 are black

20 are red

25 are yellow

30 are green

And the rest are orange.

The number of orange jelly beans can be calculated by deducting the number of black,red,yellow,and green jelly beans from the total.

`\begin{gathered} n=100-(15+20+25+30) \\ n=100-90 \\ n=10 \end{gathered}`

So, there are 10 orange jelly beans in the jar.

We now need to write a fraction of the number of jelly beans that are orange;

`\begin{gathered} f_o=\frac{\text{ number of orange jelly beans }}{\text{Total number of jelly beans}} \\ f_o=(10)/(100) \\ f_o=(1)/(10) \end{gathered}`

Therefore, the fraction of the number of jelly beans that are orange is;

`(1)/(10)`