Math Snap

STEP 1

Assumptions1. The solution is made by mixing water and disinfectant in a ratio of3.
. We need to find the amount of water for9 parts of disinfectant.

STEP 2

First, we need to understand the given ratio. The ratio of water to disinfectant is2, which means for every2 parts of water, we use parts of disinfectant.
$$\frac{Water}{Disinfectant} = \frac{2}{}$$

STEP 3

We need to find the amount of water for9 parts of disinfectant. We can set up a proportion to solve for the unknown amount of water.
$$\frac{Water}{Disinfectant} = \frac{2}{3} = \frac{x}{9}$$Where x is the unknown amount of water.

STEP 4

To solve for x, we can cross-multiply.
$$2 \times9 =3 \times x$$

STEP 5

implify the equation to find the value of x.
$$18 =3x$$

STEP 6

Divide both sides of the equation by3 to solve for x.
$$x = \frac{18}{3}$$

Calculate the value of x.
$$x = \frac{18}{3} =6$$So, you will need6 parts of water for9 parts of disinfectant.