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Verified Answer :

1 2/5 pounds ...................$3.36
2 3/4 pounds.....................?

2 3/4 * 3.36 / (1 2/5)
=11/4  *  3.36 / (7/5) 
= 9.24 /  (7/5) 
= 9.24 /  1.4
= 6.6

answer: 2 3/4 pounds of lunch meat cost $6.60


Answer:

$6.6

Step-by-step explanation:

This is what we know:

\(1\dfrac{2}{5} pounds = $3.36\)

\(2\dfrac{3}{4} pounds = $x\)

You can say that they are proportional because there is a unit price for each pound.

\(\dfrac{1\frac{2}{5}pounds}{3.36}=\dfrac{2\frac{3}{4}pounds}{x}\)

There are a couple of ways to do this but I'll show you this one:

Ratio and proportion:

\(\dfrac{\frac{7}{5}pounds}{3.36dollars}=\dfrac{\frac{11}{4}pounds}{xdollars}\)

\((\frac{7}{5})(x)=(\frac{11}{4})(3.36)\)

\(\frac{7x}{5}=\frac{36.96}{4}\)

\(7x=(\frac{36.96}{4})(5)\)

\(7x=(\frac{184.8}{4}\)

\(7x=46.2\)

\(x=\frac{46.2}{7}\)

\(x=$6.6\)