A 96-ounce container of orange juice costs $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.

$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

Answered by bbettieboop | 2024-06-10

we know that
A 96 -ounce container of orange juice cost $4.80
so
by proportion
Find the cost of a 128 -ounce container
96 4.80 ​ o u n ces $ ​ = 128 x ​ o u n ces $ ​ 96 ∗ x = 128 ∗ 4.80 x = 128 ∗ 4.80/96 x = $6.40
Verify the unit rates
96 4.80 ​ o u n ces $ ​ = 0.05 o u n ce $ ​
128 6.40 ​ o u n ces $ ​ = 0.05 o u n ce $ ​
therefore
the answer is
$6.40

Answered by calculista | 2024-06-11

A 128-ounce container should be sold for $6.40 to maintain the same unit rate of $0.05 per ounce as a 96-ounce container costing $4.80. This ensures both containers provide the same cost per ounce. Confirming this by calculating the unit rate of the 128-ounce container also results in $0.05 per ounce.
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Answered by calculista | 2024-09-27