Answer :
Using the given information, we are able to setup proportion:
[tex]\frac{100}{4400}=\frac{x}{4480} \\4400x=100\cdot4480 \\x=\frac{100\cdot4480}{4400}=\frac{1120}{11}=101.\overline{81}\approx102lb[/tex]
[tex]\frac{100}{4400}=\frac{x}{4480} \\4400x=100\cdot4480 \\x=\frac{100\cdot4480}{4400}=\frac{1120}{11}=101.\overline{81}\approx102lb[/tex]
Answer:
101.8182 pounds.
Step-by-step explanation:
He used 40 pounds of insecticide to cover 1760 square feet of lawn and 60 pounds to cover an additional 2640 square feet. So,
1760 + 2640 = 4400 square feet of lawn with 40+60 = 100 pounds of insecticide. Then, his whole lawn is 4480 square feet andn he already covered 4400, so he need to cover 4480 - 4400 = 80 square feet more.
Now, one of the data given we can do a proportion:
40 pounds to 1760 square feet = [tex]\frac{40pounds}{1760ft^2}[/tex]
x pounds to 80 square feet = [tex]\frac{xpounds}{80ft^2}[/tex]
[tex]\frac{40pounds}{1760ft^2}=\frac{xpounds}{80ft^2}[/tex]
[tex]xpounds*1760ft^2 = 80ft^2*40pounds[/tex]
[tex]xpounds = \frac{80ft^2*40pounds}{1760ft^2}[/tex]
[tex]xpounds = \frac{3200pounds}{1760}[/tex]
[tex]x = 1.8182 pounds.[/tex]
Then, to cover his whole lawn of 4480 square feet he needs 100+1.8182 = 101.8182 pounds of insecticide.