Question

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.

Answer 1

$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

Answer 2

we know that

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

so

by proportion

Find the cost of a
`128`-ounce container

`(4.80)/(96)(\$)/(ounces)=(x)/(128)(\$)/(ounces)\\\\96*x=128*4.80\\ \\x=128*4.80/96\\ \\x=\$6.40`

Verify the unit rates

`(4.80)/(96)(\$)/(ounces)=0.05(\$)/(ounce)`

`(6.40)/(128)(\$)/(ounces)=0.05(\$)/(ounce)`

therefore

the answer is

`\$6.40`