REN fine six peanuts, four raisins, 3 cranberries, and 5 chocolate chips in a handful of trail mix. For every 9 pieces in Ren's handful of trail mix there are 2

Respuesta :

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.

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