A trail mix brand guarantees a peanut to raisin ratio of 5:2. If a bag of that trail mix contains 30 peanuts, how many raisins are in the bag?

Respuesta :

Answer:

12

Explanation:

In the bag, the guaranteed ratio of peanut to raisin = 5:2

Number of peanuts = 30

Let the number of raisins =x

We therefore have that:

[tex]\begin{gathered} 5\colon2=30\colon x \\ \frac{5}{2}=\frac{30}{x} \\ 5x=30\times2 \\ x=\frac{30\times2}{5} \\ x=12 \end{gathered}[/tex]

The number of raisins in the bag is 12.