Answered

A 96-ounce container of orange juice cost $4.80. At what price should a 128-ounce container be sold in order for the unit rate for both containers to be the same? Explain your reasoning.

Verified Answer :

$6.40 because 32 ounces is the difference 128 and 96 hence 32 is 1/3 of 96 so divide $4.80 by 3 which is $1.60 then add $1.60 + $4.80 =$6.40

we know that

A \(96\)-ounce container of orange juice cost \(\$4.80\)

so

by proportion

Find the cost of a \(128\)-ounce container

\(\frac{4.80}{96}\frac{\$}{ounces}=\frac{x}{128}\frac{\$}{ounces}\\\\96*x=128*4.80\\ \\x=128*4.80/96\\ \\x=\$6.40\)

Verify the unit rates

\(\frac{4.80}{96}\frac{\$}{ounces}=0.05\frac{\$}{ounce}\)

\(\frac{6.40}{128}\frac{\$}{ounces}=0.05\frac{\$}{ounce}\)

therefore

the answer is

\(\$6.40\)