Answer:
192 oz needed at a cost of $9.36
Step-by-step explanation:
Set these up as proportions. The first set of ratios will have the number of ounces on the top and the square feet on the bottom:
[tex]\frac{oz}{ft^2}:\frac{40}{1250}[/tex]
If we are looking for the number of ounces it will take to cover 6000 square feet, then the unknown x is on top with ounces and the 6000 goes on bottom with the square feet:
[tex]\frac{oz}{ft^2}:\frac{40}{1250}=\frac{x}{6000}[/tex]
Cross multiply to get
1250x = 240000 so
x = 192 ounces
That is how many ounces of fertilizer it takes to cover the lawn. Now you want to know what it will cost for 192 ounces of fertilizer. So use a proportion again with cost on top and ounces on bottom:
[tex]\frac{cost}{oz}: \frac{1.17}{24}=\frac{x}{192}[/tex]
Cross multiply to get
24x = 224.64 so
x = $9.36