Question

Martina ordered a set of blue and orange pins. She received 96 pins in all. 24 of the pins were

blue. What percentage of the pins were blue?
Write your answer using a percent sign (%).

Answer 1

25%

Explanation:

This is like a part over whole problem, where 24 blue pens is the part and 96 pens total is the whole.

24/96 = 0.25 * 100 = 25%

Answer 2

Of the 96 pins, 25% of the pins were blue.

Explanation:

We are given that Martina ordered 96 pins in total. We are also given that she ordered 24 blue pins.

With this, we can determine how many of the pins were not blue pins by subtracting the amount of blue pins from the number of total pins.

`96 \ \text{total pins} - 24 \ \text{blue pins} = 72 \ \text{orange pins}`

Now, we can divide the number of blue pins by the number of total pins to determine the fraction of blue pins to total pins.

`\displaystyle (24)/(96) = (12)/(48) = (6)/(24) = (3)/(12) = (1)/(4)`

Then, we can convert our fraction to a decimal.

`\displaystyle (1)/(4) = 0.25`

And finally, we can convert our decimal to a percentage by multiplying the determined decimal by 100.

`0.25*100 = 25\%`

Therefore, of the 96 pins that Martina ordered, 25% of them were blue.