Maria bought 1 2/5 pounds of lunch meat for $3.36. How much would 2 3/4 pounds of lunch meat cost?
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:
\(\dfrac{\frac{7}{5}pounds}{3.36dollars}=\dfrac{\frac{11}{4}pounds}{xdollars}\)
\((\frac{7}{5})(x)=(\frac{11}{4})(3.36)\)
\(\frac{7x}{5}=\frac{36.96}{4}\)
\(7x=(\frac{36.96}{4})(5)\)
\(7x=(\frac{184.8}{4}\)
\(7x=46.2\)
\(x=\frac{46.2}{7}\)
\(x=$6.6\)