Respuesta :
Answer:
There were 20 picks total
Step-by-step explanation:
We can use a proportion to solve this problem. Put the orange picks on top and the total picks on bottom
3 orange 12 orange
-------------- = ---------------
5 total x total
Using cross products
3x = 5*12
3x= 60
Divide each side by 3
3x/3 = 60/3
x = 20
There were 20 picks total
In this problem we'll work with fractions and equality:
So, "3 out of 5" is represented by [tex]\frac{3}{5}[/tex]. The numerator is the number of orange picks, and the denominator is the total number of picks.
So, if we have 12 orange picks, it means that from our original fraction ([tex]\frac{3}{5}[/tex]) the 3 became a 12, which means it has been multiplied by 4. Finally, we multiply our denominator by the same number: 4 * 5 = 20
Therefore:
In all, there were 20 picks, 12 of them orange, or as a fraction, [tex]\frac{12}{20}[/tex]
Hope it helped,
BioTeacher101