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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.

Sagot :

bbettieboop
$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
calculista

we know that

A [tex]96[/tex]-ounce container of orange juice cost [tex]\$4.80[/tex]

so

by proportion

Find the cost of a [tex]128[/tex]-ounce container

[tex]\frac{4.80}{96}\frac{\$}{ounces}=\frac{x}{128}\frac{\$}{ounces}\\\\96*x=128*4.80\\ \\x=128*4.80/96\\ \\x=\$6.40[/tex]

Verify the unit rates

[tex]\frac{4.80}{96}\frac{\$}{ounces}=0.05\frac{\$}{ounce}[/tex]

[tex]\frac{6.40}{128}\frac{\$}{ounces}=0.05\frac{\$}{ounce}[/tex]

therefore

the answer is

[tex]\$6.40[/tex]


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