How many square feet could you treat with a hand sprayer holding 1 gallon, if it takes 4 ounces of the spray mix to treat 100 square feet?

To determine how many square feet can be treated with a hand sprayer that holds 1 gallon of spray mix, the first step is to convert gallons into ounces, as this will make it easier to understand based on the information provided about the treatment coverage.

1 gallon is equal to 128 ounces. If you know that it takes 4 ounces of the spray mix to treat 100 square feet, you can calculate how many square feet can be treated with the 128 ounces available in the sprayer.

Using a simple ratio, you can set this up as follows:

For every 4 ounces used for 100 square feet, calculate how many ounces there are in 128 ounces:

[

\text{Number of treatments with 128 ounces} = \frac{128 \text{ ounces}}{4 \text{ ounces per treatment}} = 32 \text{ treatments}

]

Next, to find out how many square feet can be treated with those 32 treatments, you multiply the number of treatments by the area that each treatment covers:

[

\text{Total square feet treated} = 32 \text{ treatments} \times 100 \text{ square feet per treatment} = 3200 \text{ square feet