Question

A lawn treatment recommends using its product at a rate of 12mL concentrate per 5L of water to cover an area of 35 square meters. A 5-gallon sprayer is being used for the mixture. How many milliliters of concentrate should be used in the 5-gallon sprayer if 1 gallon is approximately 3.785 liters?

Round your answer to the nearest hundredth, if necessary.

Answer 1

To calculate the amount of concentrate needed in the 5-gallon sprayer, we need to convert the volume of the sprayer from gallons to liters.

Since 1 gallon is approximately 3.785 liters, 5 gallons would be approximately 5 * 3.785 = 18.925 liters.

Now, we can use the recommended rate of 12 mL concentrate per 5L of water to determine the amount of concentrate needed.

Using a proportion, we can set up the equation:

12 mL / 5 L = x mL / 18.925 L

Cross-multiplying, we get:

5 * x mL = 12 * 18.925 mL

Simplifying, we find:

x ≈ 45.42 mL

Rounding to the nearest hundredth, the amount of concentrate needed in the 5-gallon sprayer is approximately 45.42 mL.