Question

3 out of 5 picks are orange. if 12 picks are orange haw many picks are in all

Answer 1

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

Answer 2

In this problem we'll work with fractions and equality:

So, "3 out of 5" is represented by $\frac{3}{5}$. 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 ($\frac{3}{5}$) 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, $\frac{12}{20}$

Hope it helped,

BioTeacher101