Answer:
2 raisins.
Step-by-step explanation:
Let x represent total number of required ingredient.
We have been given that Ren finds 6 peanuts, 4 raisins, 3 cranberries, and 5 chocolate chips in a handful of trail mix. We are asked to find of which ingredient Ren will have 2 pieces for a total of 9 pieces.
First of all, we will find total number of ingredients by adding each ingredient as:
[tex]\text{Total number of ingredients}=6+4+3+5[/tex]
[tex]\text{Total number of ingredients}=18[/tex]
Now, we will use ratio to solve for our given problem as:
[tex]\frac{\text{Required ingredient}}{\text{Total ingredient}}=\frac{2}{9}[/tex]
[tex]\frac{x}{18}=\frac{2}{9}[/tex]
[tex]\frac{x}{18}\cdot 18=\frac{2}{9}\cdot 18[/tex]
[tex]x=\frac{2}{1}\cdot 2[/tex]
[tex]x=4[/tex]
Since there are 4 raisins, therefore, for every 9 pieces in Ren's handful of trail mix there are 2 raisins.