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QuestionTo clean dental instruments, if the water to disinfectant ratio is 2:3, how much water is needed for 9 parts disinfectant? A. 2 B. 3 C. 6 D. 8 E. 9

Studdy Solution

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.
WaterDisinfectant=2\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.
WaterDisinfectant=23=x9\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.
2×9=3×x2 \times9 =3 \times x

STEP 5

implify the equation to find the value of x.
18=3x18 =3x

STEP 6

Divide both sides of the equation by3 to solve for x.
x=183x = \frac{18}{3}

STEP 7

Calculate the value of x.
x=183=6x = \frac{18}{3} =6So, you will need6 parts of water for9 parts of disinfectant.

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