Answer:
$6.6
Step-by-step explanation:
This is what we know:
[tex]1\dfrac{2}{5} pounds = $3.36[/tex]
[tex]2\dfrac{3}{4} pounds = $x[/tex]
You can say that they are proportional because there is a unit price for each pound.
[tex]\dfrac{1\frac{2}{5}pounds}{3.36}=\dfrac{2\frac{3}{4}pounds}{x}[/tex]
There are a couple of ways to do this but I'll show you this one:
Ratio and proportion:
[tex]\dfrac{\frac{7}{5}pounds}{3.36dollars}=\dfrac{\frac{11}{4}pounds}{xdollars}[/tex]
[tex](\frac{7}{5})(x)=(\frac{11}{4})(3.36)[/tex]
[tex]\frac{7x}{5}=\frac{36.96}{4}[/tex]
[tex]7x=(\frac{36.96}{4})(5)[/tex]
[tex]7x=(\frac{184.8}{4}[/tex]
[tex]7x=46.2[/tex]
[tex]x=\frac{46.2}{7}[/tex]
[tex]x=$6.6[/tex]
