If you need to create a 0.5% dilution and you know it takes 4.8 oz of concentrate for a 2.0% dilution, how much concentrate will you need?

If you need to create a 0.5% dilution and you know it takes 4.8 oz of concentrate for a 2.0% dilution, how much concentrate will you need?

• A. 4.8 oz
• B. 1.2 oz
• C. 2.4 oz
• D. 3.6 oz

Answer: (B)

To find out how much concentrate is needed for a 0.5% dilution when 4.8 oz is required for a 2.0% dilution, you can use a simple ratio. First, identify the relationship between the concentrations. A 2.0% solution means that there are 2.0 parts of concentrate in 100 parts of water, while a 0.5% solution means that there are 0.5 parts of concentrate in 100 parts of water. This shows that the 0.5% solution requires a quarter of the concentrate used for a 2.0% solution, because 0.5% is one-fourth of 2.0%. Now, given that 4.8 oz is the amount required for the 2.0% dilution, to achieve a 0.5% dilution, you will take one-fourth of 4.8 oz: \[ \frac{4.8 \text{ oz}}{4} = 1.2 \text{ oz} \] Thus, to create a 0.5% dilution, you will need 1.2 oz of the concentrate. This calculation reflects the direct proportionality between the concentration of

To find out how much concentrate is needed for a 0.5% dilution when 4.8 oz is required for a 2.0% dilution, you can use a simple ratio.

First, identify the relationship between the concentrations. A 2.0% solution means that there are 2.0 parts of concentrate in 100 parts of water, while a 0.5% solution means that there are 0.5 parts of concentrate in 100 parts of water. This shows that the 0.5% solution requires a quarter of the concentrate used for a 2.0% solution, because 0.5% is one-fourth of 2.0%.

Now, given that 4.8 oz is the amount required for the 2.0% dilution, to achieve a 0.5% dilution, you will take one-fourth of 4.8 oz:

[

\frac{4.8 \text{ oz}}{4} = 1.2 \text{ oz}

]

Thus, to create a 0.5% dilution, you will need 1.2 oz of the concentrate. This calculation reflects the direct proportionality between the concentration of